In each case find bases for the row and column spaces of A and determine the rank of A. [2 -4 8 -1 a. A = -5 10 -1 2 2 1 1 b. А — 4 -2 0 1 5 1 -6 2 0 1 4 c. A = -10 1 -5 1391

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: The sum of the sum of a and b and the quotient of a and b with b as the dividend…

A: First I have written the sum of a  and b and the quotient of a  and b with b as decided.Then find…

Q: Which of the following is in a row echelon form? elect one: O 043 018 001 14 3 018 00-1 None of…

A:

Q: 4. Perform the following operations: a) (4x²+5x+3)+(3x²–2x+8) b) (3r² –7x+2)(5x²+4x-6) c)…

A:

Q: Expand and simplify to express each equation in standard form. [2, 2, 2, 3, 3, 2] a) y = (x +5)(x +…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Let     A= [ -2  3  -4           and      B= [ -3  2  4          3  -1  2…

A:

Q: verify that A(B + C) = AB + AC

A: Now,

Q: A. y = -2(x – 4)² + 1 B. y = 2(x – 4)² + 1 C. y = 2(x + 4)² – 1 D. y = -2(x + 4)² – 1 7.

A: 7. A parabola can have equation of the form x=a(y-k)2+h. This parabola will have vertex at (h,k) and…

Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B

A: Set of Each entry in 2 tuple in the below table is Cartesian product of A and B

Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

A:

Q: 8.C.11: Suppose TEL(V) is invertible. Prove that there exists a polynomial pE P(F) such that…

A: Given that T is invertible linear transformation. It gives that the characteristic polynomial fx of…

Q: In a particular state, all automobile license plates consist of two capital letters (from…

A:

Q: [-1 2 2 -21 -2 2 -5 2 1 -5 0 5 3 Given A = ,B = -5-2 0 0 -2 -4 0 3. -3 2 5 -3 Which of the following…

A:

Q: Find a and b such that 2 1 20 = a 2 +b -4 -22 -1 a = b =

A:

Q: 4 -2 1 -2 A = -3 1 -2 3 1 -1 -1 determine the following entries: a32 = a21 = a13 %3D

A: Given matrix is A = 4-21-2-312-231-1-1

Q: Find the rank of A = ( 1   -1   2   3)                                       2  6  -8   1…

A: Rank of Matrix : It is the Number of Non Zero rows in reduced row echelon form.

Q: These temperatures were recorded in Pasadena, California for three weeks last April 87 85 80 78 83…

A: b Median: Number of observations: 21. That is, the number of observations is odd. Therefore, the…

Q: If A: find A 2. 3 3. and Show Shat A-3

A: A=1213 Now determinant value is, A=13-12=1 Adjoint of matrix A is, adjA=3-2-11 Now,…

Q: Suppose U = {1, 2,..., 9}, A = all multiples of 2, B = all multiples of 3, and C = {3, 4, 5, 6, 7}.…

A:

Q: H.W: Find the domoin of y = X+3 4-[xt-q

A: Explanation of the solution is given below...

Q: derivative to identify 10. Use the test the intervais function glx) = x 4 - 4x% +4x² is where the…

A: To find the local minima and maxima

Q: 1. Simplify by multiplying everything out. a. 3x2 X 4x3 X 2y2 = b. 3y2 X (-4y) X (-2y) = c. 4x2y…

A: (a) Given,        3x2×4x3×2y2=

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600…

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Q: -2 -3 -3 7 -9 2 -9 -1 5 -2, and B = 1 -2 -7 Let k = -2, A = 6. -8 -6 9 -8 1 5 1 5 7. Compute C = k(A…

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Q: 2 1 -5 and B = 4 find A · B fA = 3 1 -2 3 1 f possible.

A: Given: A=213131 and B=-5-54-2

Q: Find BA. A= BA= 0 -:] 7 -1 -3 0 -3 -5 -4

A: Finding the product of matrices.

Q: A: 0 8 4 1 9 -4 -1 -4 a what is the value of the element in row 1, column 2 of A²?

A:

Q: Question 4 Simplify (2+ 7j)² O -45 + 28 j O 45-28 j O 28 + 45 j O 29 - 45 j

A:

Q: -5 1 -5 Let A = -4 ,B = -5 -1 3 1 Compute: 4AT + B

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Q: Determine whether b is in the column space of A. 1 2-37 A= 1 4-6, b = -2 -3-2 5 O Yes No

A: We will use reduced row echlon form to check b is in column space of A or not

Q: ork for Int Math II 7 452 Name: UNIT 5 • SIMILARITY, RIGHT TRIANGLE TRIGONOMETRY, AND PROOF Lesson…

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Q: Suppose the second column of B is all zeros.  What can you say about the second column of AB?

A: If the second column of B is all Zeros, then the second column of AB will also be all Zeros.

Q: Determine whether b is in the column space of A. 1 2-3] A= 1 4-6, b = b- -3-2 5 O Yes O No

A: We want to find the given statement is true or false.

Q: A = (8A)-1 1/4A -9/8A - [. = 24 -9 2 1/2A 1/4A

A: