Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN: 9781305658004
Author: Ron Larson
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3.3, Problem 64E
Illustrate the result of Exercise 63 with the matrix
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Find the perimeter and area
Assume {u1, U2, us} spans R³.
Select the best statement.
A. {U1, U2, us, u4} spans R³ unless u is the zero vector.
B. {U1, U2, us, u4} always spans R³.
C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set.
D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³.
OE. {U1, U2, 3, 4} never spans R³.
F. none of the above
Assume {u1, U2, 13, 14} spans R³.
Select the best statement.
A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set.
B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector.
C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set.
D. {U1, U2, us} always spans R³.
E. {U1, U2, u3} may, but does not have to, span R³.
F. none of the above
Chapter 3 Solutions
Elementary Linear Algebra (MindTap Course List)
Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - Finding the Minors and Cofactors of a Matrix In...Ch. 3.1 - Finding the Minors and Cofactors of a Matrix In...Ch. 3.1 - Finding the Minors and Cofactors of a Matrix In...Ch. 3.1 - Finding the Minors and Cofactors of a Matrix In...Ch. 3.1 - Find the determinant of the matrix in Exercise 15...Ch. 3.1 - Find the determinant of the matrix in Exercise 16...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Prob. 24ECh. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Prob. 32ECh. 3.1 - Finding a Determinant in Exercises 33 and 34, use...Ch. 3.1 - Finding a Determinant in Exercises 33 and 34, use...Ch. 3.1 - Finding a Determinant In Exercises 35-38, use a...Ch. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Finding the Determinant of a Triangular Matrix In...Ch. 3.1 - Finding the Determinant of a Triangular Matrix In...Ch. 3.1 - Finding the Determinant of a Triangular Matrix In...Ch. 3.1 - Finding the Determinant of a Triangular Matrix In...Ch. 3.1 - True or False ? a The determinant of a 22 matrix A...Ch. 3.1 - True or False ? a To find the determinant of a...Ch. 3.1 - Solving an Equation In Exercises 45-48, solve for...Ch. 3.1 - Prob. 46ECh. 3.1 - Solving an Equation In Exercises 45-48, solve for...Ch. 3.1 - Solving an Equation In Exercises 45-48, solve for...Ch. 3.1 - Solving an Equation In Exercises 4952, find the...Ch. 3.1 - Solving an Equation In Exercises 4952, find the...Ch. 3.1 - Solving an Equation In Exercises 49-52, find the...Ch. 3.1 - Solving an Equation In Exercises 49-52, find the...Ch. 3.1 - Show that the system of linear equations...Ch. 3.1 - Prob. 54ECh. 3.1 - Entries Involving Expressions In Exercises 55- 62,...Ch. 3.1 - Prob. 56ECh. 3.1 - Entries Involving Expressions In Exercises 55-62,...Ch. 3.1 - Prob. 58ECh. 3.1 - Entries Involving Expressions In Exercises 55- 62,...Ch. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Verifying an Equation In Exercises 63-68, evaluate...Ch. 3.1 - Prob. 64ECh. 3.1 - Verify an Equation In Exercises 63-68, evaluate...Ch. 3.1 - Prob. 66ECh. 3.1 - Verifying an equation In Exercises 63-68, evaluate...Ch. 3.1 - Prob. 68ECh. 3.1 - You are given the equation |x0c1xb01a|=ax2+bx+c....Ch. 3.1 - The determinant of a 22 matrix involves two...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 6ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 8ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 10ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 12ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 16ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 18ECh. 3.2 - Properties of Determinant In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Finding a Determinant In Exercises 2124, use...Ch. 3.2 - Finding a Determinant In Exercises 2124, use...Ch. 3.2 - Finding a Determinant In Exercises 2124, use...Ch. 3.2 - Prob. 24ECh. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Prob. 26ECh. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Prob. 28ECh. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Prob. 34ECh. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Finding the Determinant of an Elementary Matrix In...Ch. 3.2 - Finding the Determinant of an Elementary Matrix In...Ch. 3.2 - Finding the Determinant of an Elementary Matrix In...Ch. 3.2 - Finding the Determinant of an Elementary Matrix In...Ch. 3.2 - Proof Prove the property....Ch. 3.2 - Proof Prove the property....Ch. 3.2 - Find each determinant. a |cossinsincos| b...Ch. 3.2 - CAPSTONE Evaluate each determinant when a = 1, b =...Ch. 3.2 - Guided Proof Prove Property 2 of Theorem 3.3: When...Ch. 3.2 - Prob. 48ECh. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - Prob. 6ECh. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - Prob. 8ECh. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - Prob. 10ECh. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - Prob. 14ECh. 3.3 - The Determinant of a Matrix Sum In Exercises...Ch. 3.3 - Prob. 16ECh. 3.3 - The Determinant of a Matrix Sum In Exercises...Ch. 3.3 - Prob. 18ECh. 3.3 - Classifying Matrices as Singular or Nonsingular In...Ch. 3.3 - Prob. 20ECh. 3.3 - Classifying Matrices as Singular or Nonsingular In...Ch. 3.3 - Classifying Matrices as Singular or Nonsingular In...Ch. 3.3 - Classifying Matrices as Singular or Nonsingular In...Ch. 3.3 - Prob. 24ECh. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - Prob. 30ECh. 3.3 - System of Linear Equation In Exercises 31-36, use...Ch. 3.3 - System of Linear Equation In Exercises 31-36, use...Ch. 3.3 - System of Linear Equation In Exercises 31-36, use...Ch. 3.3 - System of Linear Equation In Exercises 31-36, use...Ch. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Prob. 42ECh. 3.3 - Finding Determinants In Exercises 43-50, find...Ch. 3.3 - Prob. 44ECh. 3.3 - Finding Determinants In Exercises 43-50, find...Ch. 3.3 - Prob. 46ECh. 3.3 - Finding Determinants In Exercises 43-50, find...Ch. 3.3 - Prob. 48ECh. 3.3 - Finding Determinants In Exercises 43-50, find...Ch. 3.3 - Prob. 50ECh. 3.3 - Finding Determinants In Exercises 51-56, use a...Ch. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Let A and B be square matrices of order 4 such...Ch. 3.3 - CAPSTONE Let A and B be square matrices of order 3...Ch. 3.3 - Proof Let A and B be nn matrices such that...Ch. 3.3 - Prob. 60ECh. 3.3 - Find two 22 matrices such that |A|+|B|=|A+B|.Ch. 3.3 - Prob. 62ECh. 3.3 - Let A be an nn matrix in which the entries of each...Ch. 3.3 - Illustrate the result of Exercise 63 with the...Ch. 3.3 - Guided Proof Prove that the determinant of an...Ch. 3.3 - Prob. 66ECh. 3.3 - Prob. 67ECh. 3.3 - Prob. 68ECh. 3.3 - Prob. 69ECh. 3.3 - Prob. 70ECh. 3.3 - Prob. 71ECh. 3.3 - Prob. 72ECh. 3.3 - Prob. 73ECh. 3.3 - Prob. 74ECh. 3.3 - Prob. 75ECh. 3.3 - Orthogonal Matrices in Exercises 73-78, determine...Ch. 3.3 - Prob. 77ECh. 3.3 - Prob. 78ECh. 3.3 - Prob. 79ECh. 3.3 - Prob. 80ECh. 3.3 - Prob. 81ECh. 3.3 - Prob. 82ECh. 3.3 - Proof If A is an idempotent matrix (A2=A), then...Ch. 3.3 - Prob. 84ECh. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Prob. 2ECh. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Prob. 10ECh. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Prob. 20ECh. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Use Cramers Rule to solve the system of linear...Ch. 3.4 - Verify the system of linear equations in cosA,...Ch. 3.4 - Finding the Area of a Triangle In Exercises 29-32,...Ch. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Finding an Equation of a Line In Exercises 37-40,...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Testing for Coplanar Points In Exercises 47-52,...Ch. 3.4 - Testing for Coplanar Points In Exercises 47-52,...Ch. 3.4 - Testing for Coplanar Points In exercises 47-52...Ch. 3.4 - Testing for Coplanar Points In exercises 47-52...Ch. 3.4 - Testing for Coplanar Points In exercises 47-52...Ch. 3.4 - Testing for Coplanar Points In exercises 47-52...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Using Cramers Rule In Exercises 59 and 60,...Ch. 3.4 - Using Cramers Rule In Exercises 59 and 60,...Ch. 3.4 - Software Publishing The table shows the estimate...Ch. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.CR - The Determinant of a Matrix In Exercises 1-18,...Ch. 3.CR - Prob. 2CRCh. 3.CR - Prob. 3CRCh. 3.CR - Prob. 4CRCh. 3.CR - Prob. 5CRCh. 3.CR - Prob. 6CRCh. 3.CR - Prob. 7CRCh. 3.CR - Prob. 8CRCh. 3.CR - Prob. 9CRCh. 3.CR - The Determinant of a Matrix In Exercises 1-18,...Ch. 3.CR - Prob. 11CRCh. 3.CR - Prob. 12CRCh. 3.CR - Prob. 13CRCh. 3.CR - Prob. 14CRCh. 3.CR - Prob. 15CRCh. 3.CR - Prob. 16CRCh. 3.CR - Prob. 17CRCh. 3.CR - Prob. 18CRCh. 3.CR - Properties of Determinants In Exercises 19-22,...Ch. 3.CR - Properties of Determinants In Exercises 19-22,...Ch. 3.CR - Prob. 21CRCh. 3.CR - Prob. 22CRCh. 3.CR - Prob. 23CRCh. 3.CR - Prob. 24CRCh. 3.CR - Prob. 25CRCh. 3.CR - Prob. 26CRCh. 3.CR - Prob. 27CRCh. 3.CR - Finding Determinants In Exercises 27 and 28, find...Ch. 3.CR - Prob. 29CRCh. 3.CR - Prob. 30CRCh. 3.CR - Prob. 31CRCh. 3.CR - The Determinant of the Inverse of a Matrix In...Ch. 3.CR - Prob. 33CRCh. 3.CR - Prob. 34CRCh. 3.CR - Solving a System of Linear Equations In Exercises...Ch. 3.CR - Solving a System of Linear Equations In Exercises...Ch. 3.CR - Prob. 37CRCh. 3.CR - Prob. 38CRCh. 3.CR - System of Linear Equation In Exercises 37-42, use...Ch. 3.CR - System of Linear Equation In Exercises 37-42, use...Ch. 3.CR - Prob. 41CRCh. 3.CR - Prob. 42CRCh. 3.CR - Let A and B be square matrices of order 4 such...Ch. 3.CR - Prob. 44CRCh. 3.CR - Prob. 45CRCh. 3.CR - Prob. 46CRCh. 3.CR - Prob. 47CRCh. 3.CR - Show that |a1111a1111a1111a|=(a+3)(a1)3Ch. 3.CR - Prob. 49CRCh. 3.CR - Prob. 50CRCh. 3.CR - Prob. 51CRCh. 3.CR - Prob. 52CRCh. 3.CR - Prob. 53CRCh. 3.CR - Prob. 54CRCh. 3.CR - Prob. 55CRCh. 3.CR - Prob. 56CRCh. 3.CR - Prob. 57CRCh. 3.CR - Prob. 58CRCh. 3.CR - Prob. 59CRCh. 3.CR - Prob. 60CRCh. 3.CR - Prob. 61CRCh. 3.CR - Prob. 62CRCh. 3.CR - Prob. 63CRCh. 3.CR - Prob. 64CRCh. 3.CR - Prob. 65CRCh. 3.CR - Using Cramers Rule In Exercises 65 and 66, use a...Ch. 3.CR - Prob. 67CRCh. 3.CR - Prob. 68CRCh. 3.CR - Prob. 69CRCh. 3.CR - Prob. 70CRCh. 3.CR - Prob. 71CRCh. 3.CR - Prob. 72CRCh. 3.CR - Prob. 73CRCh. 3.CR - Health Care Expenditures The table shows annual...Ch. 3.CR - Prob. 75CRCh. 3.CR - Prob. 76CRCh. 3.CR - True or False? In Exercises 75-78, determine...Ch. 3.CR - Prob. 78CRCh. 3.CM - Prob. 1CMCh. 3.CM - Prob. 2CMCh. 3.CM - In Exercises 3and4, use Gaussian elimination to...Ch. 3.CM - In Exercises 3and4, use Gaussian elimination to...Ch. 3.CM - Use a software program or a graphing utility to...Ch. 3.CM - Prob. 6CMCh. 3.CM - Solve the homogeneous linear system corresponding...Ch. 3.CM - Determine the values of k such that the system is...Ch. 3.CM - Solve for x and y in the matrix equation 2AB=I,...Ch. 3.CM - Find ATA for the matrix A=[531246]. Show that this...Ch. 3.CM - In Exercises 11-14, find the inverse of the matrix...Ch. 3.CM - In Exercises 11-14, find the inverse of the matrix...Ch. 3.CM - Prob. 13CMCh. 3.CM - In Exercises 11-14, find the inverse of the matrix...Ch. 3.CM - In Exercises 15 and 16, use an inverse matrix to...Ch. 3.CM - In Exercises 15 and 16, use an inverse matrix to...Ch. 3.CM - Find the sequence of the elementary matrices whose...Ch. 3.CM - Find the determinant of the matrix....Ch. 3.CM - Find a |A|, b |B|, c AB and d |AB| then verify...Ch. 3.CM - Find a |A| and b |A1| A=[523104682]Ch. 3.CM - If |A|=7 and A is of order 4. Then find each...Ch. 3.CM - Use the adjoint of A=[151021102] to find A1Ch. 3.CM - Let X1,X2,X3 and b be the column matrices below....Ch. 3.CM - Use a system of linear equation to find the...Ch. 3.CM - Use a determinant to find an equation of the line...Ch. 3.CM - Use a determinant to find the area of the triangle...Ch. 3.CM - Determine the currents I1I2 and I3 for the...Ch. 3.CM - A manufacture produce three models of a product...Ch. 3.CM - Prob. 29CM
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Let H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forwardSolve for the matrix X: X (2 7³) x + ( 2 ) - (112) 6 14 8arrow_forward5. Solve for the matrix X. (Hint: we can solve AX -1 = B whenever A is invertible) 2 3 0 Χ 2 = 3 1arrow_forward
- Write p(x) = 6+11x+6x² as a linear combination of ƒ (x) = 2+x+4x² and g(x) = 1−x+3x² and h(x)=3+2x+5x²arrow_forward3. Let M = (a) - (b) 2 −1 1 -1 2 7 4 -22 Find a basis for Col(M). Find a basis for Null(M).arrow_forwardSchoology X 1. IXL-Write a system of X Project Check #5 | Schx Thomas Edison essay, x Untitled presentation ixl.com/math/algebra-1/write-a-system-of-equations-given-a-graph d.net bookmarks Play Gimkit! - Enter... Imported Imported (1) Thomas Edison Inv... ◄›) What system of equations does the graph show? -8 -6 -4 -2 y 8 LO 6 4 2 -2 -4 -6 -8. 2 4 6 8 Write the equations in slope-intercept form. Simplify any fractions. y = y = = 00 S olo 20arrow_forward
- EXERCICE 2: 6.5 points Le plan complexe est rapporté à un repère orthonormé (O, u, v ).Soit [0,[. 1/a. Résoudre dans l'équation (E₁): z2-2z+2 = 0. Ecrire les solutions sous forme exponentielle. I b. En déduire les solutions de l'équation (E2): z6-2 z³ + 2 = 0. 1-2 2/ Résoudre dans C l'équation (E): z² - 2z+1+e2i0 = 0. Ecrire les solutions sous forme exponentielle. 3/ On considère les points A, B et C d'affixes respectives: ZA = 1 + ie 10, zB = 1-ie 10 et zc = 2. a. Déterminer l'ensemble EA décrit par le point A lorsque e varie sur [0, 1. b. Calculer l'affixe du milieu K du segment [AB]. C. Déduire l'ensemble EB décrit par le point B lorsque varie sur [0,¹ [. d. Montrer que OACB est un parallelogramme. e. Donner une mesure de l'angle orienté (OA, OB) puis déterminer pour que OACB soit un carré.arrow_forward2 Use grouping to factor: 10x + 13x + 3 = 0 Identify A B and C in the chart below feach responce inarrow_forward2 Use grouping to factor: 10x² + 13x + 3 = 0 Identify A, B, and C in the chart below. (each rearrow_forward
- 2 Use grouping to factor: 10x + 13x + 3 = 0 Identify A B and C in the chart below feach responce inarrow_forwardUse grouping to fully factor: x³ + 3x² - 16x - 48 = 0 3 2arrow_forwardName: Tay Jones Level Two Date: Algebra 3 Unit 3: Functions and Equations Practice Assessment Class: #7-OneNote 1. The function f(x) = x² is transformed in the following functions. List the vertex for each function, circle whether the function opens up or down, and why. All three parts must be correct to receive Level 2 points. You can receive points for a, b, and c. a) g(x) = -2(x+5)² Vertex: Opens Up Opens Down Why? ais negative -2 Vertex: b) g(x) = (x + 2)² - 3 c) g(x) = -4(x + 2)² + 2 Opens Up Opens Down Vertex: Opens Up Opens Down Why? 4 Ca is negative) Why? his positive 2. The graph of the function f(x) is shown below. Find the domain, range, and end behavior. Then list the values of x for which the function values are increasing and decreasing. f(x) Domain: End Behavior: As x → ∞o, f(x) -> -6 As x, f(x) -> Range: Where is it Increasing? (002] Where is it Decreasing? (1,00)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Elements Of Modern Algebra
Algebra
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY
What are Determinants? Mathematics; Author: Edmerls;https://www.youtube.com/watch?v=v4_dxD4jpgM;License: Standard YouTube License, CC-BY