Prealgebra
8th Edition
ISBN: 9780134707648
Author: Martin-Gay, K. Elayn
Publisher: Pearson,
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Chapter 10.2, Problem 31E
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You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methods
Plane II is spanned by the vectors:
- (2) · P² - (4)
P1=2
P21
3
Subspace W is spanned by the vectors:
2
W1
- (9) ·
1
W2
1
= (³)
Chapter 10 Solutions
Prealgebra
Ch. 10.1 - Concept check Find and explain the error in the...Ch. 10.1 - Add: 3y+7+-9y-14Ch. 10.1 - Add: x2-4x-3+5x2-6xCh. 10.1 - Find the sum of -z2-4.2z+11 and 9z2-1.9z+6.3.Ch. 10.1 - Add vertically: x2-x+1.1 +-8x2-x-6.7Ch. 10.1 - Simplify: -3y2+y-2Ch. 10.1 - Subtract: 9b+8-11b-20Ch. 10.1 - Subtract: 11x2+7x+2-15x2+4xCh. 10.1 - Subtract -7y2+y-4 from -3y2+5y.Ch. 10.1 - Subtract 3x2-12x from -4x2+20x+17 . Use a vertical...
Ch. 10.1 - Find the value of the polynomial 2y3+y2-6 when...Ch. 10.1 - An object is dropped from the top of a 530-foot...Ch. 10.1 - Vocabulary, Readiness & Video Check Use the...Ch. 10.1 - Vocabulary, Readiness & Video Check Use the...Ch. 10.1 - Vocabulary, Readiness & Video Check Use the...Ch. 10.1 - Vocabulary, Readiness & Video Check Use the...Ch. 10.1 - Vocabulary, Readiness & Video Check Use the...Ch. 10.1 - Vocabulary, Readiness then add.Ch. 10.1 - Objective A Add the polynomials. See Examples 1...Ch. 10.1 - Objective A Add the polynomials. See Examples 1...Ch. 10.1 - Objective A Add the polynomials. See Examples 1...Ch. 10.1 - Objective A Add the polynomials. See Examples 1...Ch. 10.1 - Objective A Add the polynomials. See Examples 1...Ch. 10.1 - Objective A Add the polynomials. See Examples 1...Ch. 10.1 - Objective A Add the polynomials. See Examples 1...Ch. 10.1 - Objective A Add the polynomials. See Examples 1...Ch. 10.1 - Objective B Simplify. See Example. -9x-16Ch. 10.1 - Objective B Simplify. See Example. -4y-12Ch. 10.1 - Objective B Simplify. See Example. --3z2+z-7Ch. 10.1 - Objective B Simplify. See Example. --2x2-x+1Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Subtract the polynomials. See Examples 6 through...Ch. 10.1 - Prob. 23ECh. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Prob. 34ECh. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objectives A B Mixed Practice Perform each...Ch. 10.1 - Objective C Find the value of each polynomial when...Ch. 10.1 - Objective C Find the value of each polynomial when...Ch. 10.1 - Objective C Find the value of each polynomial when...Ch. 10.1 - Objective C Find the value of each polynomial when...Ch. 10.1 - Objective C Find the value of each polynomial when...Ch. 10.1 - Objective C Find the value of each polynomial when...Ch. 10.1 - Find the value of each polynomial when x=5. See...Ch. 10.1 - Find the value of each polynomial when x=5. See...Ch. 10.1 - Find the value of each polynomial when x=5. See...Ch. 10.1 - Find the value of each polynomial when x=5. See...Ch. 10.1 - Find the value of each polynomial when x=5. See...Ch. 10.1 - Find the value of each polynomial when x=5. See...Ch. 10.1 - Solve. See Example 11. The distance in feet...Ch. 10.1 - Solve. See Example 11. The distance in feet...Ch. 10.1 - Office supplies, Inc, manufactures office...Ch. 10.1 - Office supplies, Inc, manufactures office...Ch. 10.1 - The Chapter Opener graph is above. The predicted...Ch. 10.1 - Use the information in Exercise 59. Answers parts...Ch. 10.1 - The number of smartwatch unit sales worldwide in...Ch. 10.1 - The number of smartwatch unit sales worldwide in...Ch. 10.1 - Devils Tower National Monument in Wyoming became...Ch. 10.1 - Devils Tower National Monument in Wyoming became...Ch. 10.1 - An object is dropped from the deck of the Royal...Ch. 10.1 - An object is dropped from the deck of the Royal...Ch. 10.1 - Solve. The percent of households in the United...Ch. 10.1 - Prob. 68ECh. 10.1 - Review Evaluate. See Sections 1.7 and 2.4. 34Ch. 10.1 - Review Evaluate. See Sections 1.7 and 2.4. -25Ch. 10.1 - Review Evaluate. See Sections 1.7 and 2.4. -52Ch. 10.1 - Review Evaluate. See Sections 1.7 and 2.4. 43Ch. 10.1 - Write using exponential notation. See Section 1.7....Ch. 10.1 - Write using exponential notation. See Section 1.7....Ch. 10.1 - Write using exponential notation. See Section 1.7....Ch. 10.1 - Write using exponential notation. See Section 1.7....Ch. 10.1 - Concept Extensions Find the perimeter of each...Ch. 10.1 - Concept Extensions Find the perimeter of each...Ch. 10.1 - Given the lengths in the figure below, we find the...Ch. 10.1 - Given the lengths in the figure below, we find the...Ch. 10.1 - Fill in the blanks....Ch. 10.1 - Fill in the blanks....Ch. 10.1 - Find the value of 7a4-6a2+2a-1 when a=1.2.Ch. 10.1 - Find the value of 3b3+4b2-100 when b=-2.5.Ch. 10.1 - For Exercises 65 and 66, the polynomial 1053-16t2...Ch. 10.2 - Concept Check Which property is needed to simplify...Ch. 10.2 - Prob. 1PCh. 10.2 - Multiply: 8y54y9Ch. 10.2 - Multiply: -4r6s2-3r2s5Ch. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 7PCh. 10.2 - Prob. 8PCh. 10.2 - Prob. 9PCh. 10.2 - Prob. 1VRVCCh. 10.2 - Prob. 2VRVCCh. 10.2 - Prob. 3VRVCCh. 10.2 - Prob. 4VRVCCh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Objective A Multiply. See Examples 1 through 4....Ch. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Objective A Multiply. See Examples 1 through 4....Ch. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Objectives B C Mixed Practice Simplify. See...Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Review Multiply. See Section 3.1. 7x-3Ch. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.IR - Prob. 1IRCh. 10.IR - Add or subtract the polynomials as indicated....Ch. 10.IR - Prob. 3IRCh. 10.IR - Add or subtract the polynomials as indicated....Ch. 10.IR - Prob. 5IRCh. 10.IR - Prob. 6IRCh. 10.IR - Operations on Polynomials Add or subtract the...Ch. 10.IR - Operations on Polynomials Add or subtract the...Ch. 10.IR - Operations on Polynomials Add or subtract the...Ch. 10.IR - Operations on Polynomials Add or subtract the...Ch. 10.IR - Find the value of each polynomial when x=3. 2x7Ch. 10.IR - Find the value of each polynomial when x=3....Ch. 10.IR - Simplify x9x11Ch. 10.IR - Simplify x5x5Ch. 10.IR - Simplify y3yCh. 10.IR - Simplify aa10Ch. 10.IR - Simplify (x7)11Ch. 10.IR - Simplify (x6)6Ch. 10.IR - Simplify (x3)4(x5)6Ch. 10.IR - Simplify (y2)9(y3)3Ch. 10.IR - Simplify (5x)3Ch. 10.IR - Simplify (2y)5Ch. 10.IR - Simplify (6xy2)(2xy5)Ch. 10.IR - Simplify (4a2b3)(3ab)Ch. 10.IR - Simplify (y11z13)3Ch. 10.IR - Simplify (a5b12)4Ch. 10.IR - Simplify (10x2y)2(3y)Ch. 10.IR - Simplify (8y3z)2(2z5)Ch. 10.IR - Simplify (2a5b)4(3a9b4)2Ch. 10.IR - Simplify (5x4y6)3(x2y2)5Ch. 10.IR - There is an ever-increasing amount of money spent...Ch. 10.3 - Concept Check Correct and explain the error:...Ch. 10.3 - Concept Check True or false? When a trinomial is...Ch. 10.3 - Multiply 4y(8y2+5)Ch. 10.3 - Multiply 3r(8r2t+11)Ch. 10.3 - Multiply: (b+3)(b+5)Ch. 10.3 - Multiply: (7x1)(5x+4)Ch. 10.3 - Multiply: (6y1)2Ch. 10.3 - Practice 6-7 Use the FOIL order to multiply 6....Ch. 10.3 - Practice 6-7 Use the FOIL order to multiply 7....Ch. 10.3 - Multiply (2x+5)(x2+4x1)Ch. 10.3 - Multiply (x2+3x2) and (3x+4) verticallyCh. 10.3 - Objective A Multiply. See Examples 1 and 2....Ch. 10.3 - Objective A Multiply. See Examples 1 and 2....Ch. 10.3 - Objective A Multiply. See Examples 1 and 2....Ch. 10.3 - Objective A Multiply. See Examples 1 and 2....Ch. 10.3 - Objective A Multiply. See Examples 1 and 2....Ch. 10.3 - Objective A Multiply. See Examples 1 and 2....Ch. 10.3 - Objectives B C D Mixed Practice Multiply. See...Ch. 10.3 - Objectives B C D Mixed Practice Multiply. See...Ch. 10.3 - Objectives B C D Mixed Practice Multiply. See...Ch. 10.3 - Objectives B C D Mixed Practice Multiply. See...Ch. 10.3 - Objectives B C D Mixed Practice Multiply. See...Ch. 10.3 - Objectives B C D Mixed Practice Multiply. See...Ch. 10.3 - Objective E Multiply. See Examples 8 and 9....Ch. 10.3 - Objective E Multiply. See Examples 8 and 9....Ch. 10.3 - Objective E Multiply. See Examples 8 and 9....Ch. 10.3 - Objective E Multiply. See Examples 8 and 9....Ch. 10.3 - Objective E Multiply. See Examples 8 and 9....Ch. 10.3 - Objective E Multiply. See Examples 8 and 9....Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Prob. 29ECh. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Objectives A B C D E Mixed Practice Multiply. See...Ch. 10.3 - Write each number as a product of prime numbers....Ch. 10.3 - Write each number as a product of prime numbers....Ch. 10.3 - Write each number as a product of prime numbers....Ch. 10.3 - Write each number as a product of prime numbers....Ch. 10.3 - Write each number as a product of prime numbers....Ch. 10.3 - Write each number as a product of prime numbers....Ch. 10.3 - Find the area of each figure.Ch. 10.3 - Find the area of each figure.Ch. 10.3 - Prob. 51ECh. 10.3 - Prob. 52ECh. 10.3 - Suppose that a classmate asked you why 2x+12 is...Ch. 10.4 - Concept check Which of the following is the prime...Ch. 10.4 - Concept Check Check both factorizations given in...Ch. 10.4 - Practice Find the GCF of 42 and 28.Ch. 10.4 - Practice Find the GCF of z7,z8andz.Ch. 10.4 - Practice Find the GCF of 6a4,3a5and15a2.Ch. 10.4 - Practice Factor : 10y7+5y9Ch. 10.4 - Practice Factor : 4z212z+2Ch. 10.4 - Practice Factor: 3y29y+15x2Ch. 10.4 - Prob. 1VRVCCh. 10.4 - Prob. 2VRVCCh. 10.4 - Vocabulary, Readiness GCF The GCF of a list of...Ch. 10.4 - Prob. 4VRVCCh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Objective C Factor. Check by multiplying. See...Ch. 10.4 - Review Solve. See Sections 7.1 through 7.3. Find...Ch. 10.4 - Review Solve. See Sections 7.1 through 7.3. Find...Ch. 10.4 - Review Solve. See Sections 7.1 through 7.3. Write...Ch. 10.4 - Review Solve. See Sections 7.1 through 7.3. Write...Ch. 10.4 - Review Solve. See Sections 7.1 through 7.3. Write...Ch. 10.4 - Review Solve. See Sections 7.1 through 7.3. Write...Ch. 10.4 - Concept Extensions The area of the largest...Ch. 10.4 - Concept Extensions a. Write an expression for the...Ch. 10.4 - Concept Extensions In your own words, define the...Ch. 10.4 - Concept Extensions Suppose that a classmate asks...Ch. 10.4 - For the expression (xy+z)x, let x=2 and z=7. Then...Ch. 10.4 - For the expression (xy+z)x, let x=2 and z=7. Then...Ch. 10.4 - Concept Extensions Explain two ways in which...Ch. 10.4 - Concept Extensions Explain two ways in which...Ch. 10.GA - Business Analysis This activity may be completed...Ch. 10.GA - Business Analysis This activity may be completed...Ch. 10.GA - Business Analysis This activity may be completed...Ch. 10.GA - Business Analysis This activity may be completed...Ch. 10.VC - Prob. 1VCCh. 10.VC - Prob. 2VCCh. 10.VC - Prob. 3VCCh. 10.VC - Prob. 4VCCh. 10.VC - Prob. 5VCCh. 10.VC - Prob. 6VCCh. 10.VC - Prob. 7VCCh. 10.VC - Prob. 8VCCh. 10.CR - Prob. 1CRCh. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - 10.1 Perform each indicated operation. Subtract...Ch. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 25CRCh. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10.CR - 10.3 Multiply. (3z2+2z+1)(z2+z+1)Ch. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CRCh. 10.CR - Prob. 36CRCh. 10.CR - Prob. 37CRCh. 10.CR - Prob. 38CRCh. 10.CR - Prob. 39CRCh. 10.CR - Prob. 40CRCh. 10.CR - Prob. 41CRCh. 10.CR - Prob. 42CRCh. 10.CR - Prob. 43CRCh. 10.CR - Prob. 44CRCh. 10.CR - Prob. 45CRCh. 10.CR - Factor out the GCF. 6a212aCh. 10.CR - Prob. 47CRCh. 10.CR - Prob. 48CRCh. 10.CR - Prob. 49CRCh. 10.CR - Prob. 50CRCh. 10.CR - Prob. 51CRCh. 10.CR - Prob. 52CRCh. 10.CR - Prob. 53CRCh. 10.CR - Prob. 54CRCh. 10.CR - Prob. 55CRCh. 10.CR - Prob. 56CRCh. 10.CR - Prob. 57CRCh. 10.CR - Prob. 58CRCh. 10.CR - Prob. 59CRCh. 10.CR - Prob. 60CRCh. 10.CR - Prob. 61CRCh. 10.CR - Prob. 62CRCh. 10.CR - Prob. 63CRCh. 10.CR - Prob. 64CRCh. 10.CR - Prob. 65CRCh. 10.CR - Prob. 66CRCh. 10.GRT - Prob. 1GRTCh. 10.GRT - Prob. 2GRTCh. 10.GRT - Prob. 3GRTCh. 10.GRT - For Exercises 1 through 5, the choices are:...Ch. 10.GRT - For Exercises 1 through 5, the choices are:...Ch. 10.GRT - Prob. 6GRTCh. 10.GRT - Prob. 7GRTCh. 10.GRT - Prob. 8GRTCh. 10.GRT - Prob. 9GRTCh. 10.CT - Prob. 1CTCh. 10.CT - Prob. 2CTCh. 10.CT - Prob. 3CTCh. 10.CT - Prob. 4CTCh. 10.CT - Prob. 5CTCh. 10.CT - Prob. 6CTCh. 10.CT - Prob. 7CTCh. 10.CT - Prob. 8CTCh. 10.CT - Prob. 9CTCh. 10.CT - Prob. 10CTCh. 10.CT - Prob. 11CTCh. 10.CT - Prob. 12CTCh. 10.CT - Prob. 13CTCh. 10.CT - Prob. 14CTCh. 10.CT - Prob. 15CTCh. 10.CT - Prob. 16CTCh. 10.CT - Prob. 17CTCh. 10.CT - Prob. 18CTCh. 10.CT - Prob. 19CTCh. 10.CT - Prob. 20CTCh. 10.CT - Prob. 21CTCh. 10.CT - Prob. 22CTCh. 10.CT - Factor out the GCF. 7x66x4+x3Ch. 10.CM - Prob. 1CMCh. 10.CM - Prob. 2CMCh. 10.CM - Prob. 3CMCh. 10.CM - Prob. 4CMCh. 10.CM - Prob. 5CMCh. 10.CM - Prob. 6CMCh. 10.CM - Prob. 7CMCh. 10.CM - Prob. 8CMCh. 10.CM - Prob. 9CMCh. 10.CM - Prob. 10CMCh. 10.CM - Prob. 11CMCh. 10.CM - Prob. 12CMCh. 10.CM - Prob. 13CMCh. 10.CM - Prob. 14CMCh. 10.CM - Prob. 15CMCh. 10.CM - Prob. 16CMCh. 10.CM - Prob. 17CMCh. 10.CM - Prob. 18CMCh. 10.CM - Prob. 19CMCh. 10.CM - Prob. 20CMCh. 10.CM - Prob. 21CMCh. 10.CM - Prob. 22CMCh. 10.CM - Prob. 23CMCh. 10.CM - Divide. 5.03100Ch. 10.CM - Prob. 25CMCh. 10.CM - Prob. 26CMCh. 10.CM - Prob. 27CMCh. 10.CM - Prob. 28CMCh. 10.CM - Prob. 29CMCh. 10.CM - Prob. 30CMCh. 10.CM - Prob. 31CMCh. 10.CM - Prob. 32CMCh. 10.CM - Prob. 33CMCh. 10.CM - Prob. 34CMCh. 10.CM - Prob. 35CMCh. 10.CM - Prob. 36CMCh. 10.CM - Prob. 37CMCh. 10.CM - Two percent of the apples in a shipment are...Ch. 10.CM - Prob. 39CMCh. 10.CM - Prob. 40CMCh. 10.CM - Using the circle graph shown, determine the...Ch. 10.CM - Prob. 42CMCh. 10.CM - Prob. 43CMCh. 10.CM - Prob. 44CMCh. 10.CM - Prob. 45CMCh. 10.CM - Prob. 46CMCh. 10.CM - Subtract 3 tons 1350 lb from 8 tons 1000 lb.Ch. 10.CM - Prob. 48CMCh. 10.CM - Prob. 49CMCh. 10.CM - Prob. 50CMCh. 10.CM - Prob. 51CMCh. 10.CM - Prob. 52CMCh. 10.CM - Prob. 53CMCh. 10.CM - Prob. 54CM
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- show that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say? find v42 so that v4 = ( 2/5, v42, 1)⊤ is an eigenvector of M4 with corresp. eigenvalue λ4 = 45arrow_forwardChapter 4 Quiz 2 As always, show your work. 1) FindΘgivencscΘ=1.045. 2) Find Θ given sec Θ = 4.213. 3) Find Θ given cot Θ = 0.579. Solve the following three right triangles. B 21.0 34.6° ca 52.5 4)c 26° 5) A b 6) B 84.0 a 42° barrow_forwardQ1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor. Q2: Answer only two A:Let M be a subset of a linear space X, show that M is a hyperplane of X iff there exists ƒ€ X'/{0} and a € F such that M = (x = x/f&x) = x}. fe B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, E X iff for any sequence (x) in X converge to Xo then the sequence (f(x)) converge to (f(x)) in Y. Q3: A:Let M be a closed subspace of a normed space X, constract a linear space X/M as normed space B: Let A be a finite dimension subspace of a Banach space X, show that A is closed. C: Show that every finite dimension normed space is Banach space.arrow_forward
- • Plane II is spanned by the vectors: P12 P2 = 1 • Subspace W is spanned by the vectors: W₁ = -- () · 2 1 W2 = 0arrow_forwardThree streams - Stream A, Stream B, and Stream C - flow into a lake. The flow rates of these streams are not yet known and thus to be found. The combined water inflow from the streams is 300 m³/h. The rate of Stream A is three times the combined rates of Stream B and Stream C. The rate of Stream B is 50 m³/h less than half of the difference between the rates of Stream A and Stream C. Find the flow rates of the three streams by setting up an equation system Ax = b and solving it for x. Provide the values of A and b. Assuming that you get to an upper-triangular matrix U using an elimination matrix E such that U = E A, provide also the components of E.arrow_forwarddent Application X GA spinner is divided into five cox | + 9/26583471/4081d162951bfdf39e254aa2151384b7 A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency Red 5 Blue 11 Green 18 Yellow 5 Purple 7 Based on these results, express the probability that the next spin will land on purple as a fraction in simplest form. Answer Attempt 1 out of 2 Submit Answer 0 Feb 12 10:11 Oarrow_forward
- A student completed the problem below. Identify whether the student was correct or incorrect. Explain your reasoning. (identification 1 point; explanation 1 point) 4x 3x (x+7)(x+5)(x+7)(x-3) 4x (x-3) (x+7)(x+5) (x03) 3x (x+5) (x+7) (x-3)(x+5) 4x²-12x-3x²-15x (x+7) (x+5) (x-3) 2 × - 27x (x+7)(x+5) (x-3)arrow_forward2 Add the rational expressions below. Can you add them in this original form? Explain why or why not. 3x-7 5x + x² - 7x+12 4x-12 Show all steps. State your least common denominator and explain in words your process on how you determined your least common denominator. Be sure to state your claim, provide your evidence, and provide your reasoning before submitting.arrow_forwardcarol mailed a gift box to her sister the boxed gift weighed a total of 2 pounds the box alone weighed 13 ounces what was the wright of the giftarrow_forward
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