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Let A= 1 1 1 1 57 and D= 176 600 050. Compute AD and DA. Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Find a 3x3 matrix B, not the identity matrix or zero matrix, such that AB = BA. 004 C Compute AD. AD= Compute DA. DA= Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Choose the correct answer below. OA. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each row entry of A by the corresponding diagonal entry of D. O B. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each column entry of A by the corresponding diagonal entry of D. OC. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each column of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each row of A by the corresponding diagonal entry of D. O D. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each row of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each column of A by the corresponding diagonal entry of D. Find a 3x3 matrix B, not the identity matrix or zero matrix, such that AB=BA. Choose the correct answer below. There is only one unique solution, B = O A (Simplify your answers.) OB. There are infinitely many solutions. Any multiple of I3 will satisfy the expression. OC. There does not exist a matrix, B, that will satisfy the expression.

Let A= 1 1 1 1 57 and D= 176 600 050. Compute AD and DA. Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Find a 3x3 matrix B, not the identity matrix or zero matrix, such that AB = BA. 004 C Compute AD. AD= Compute DA. DA= Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Choose the correct answer below. OA. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each row entry of A by the corresponding diagonal entry of D. O B. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each column entry of A by the corresponding diagonal entry of D. OC. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each column of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each row of A by the corresponding diagonal entry of D. O D. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each row of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each column of A by the corresponding diagonal entry of D. Find a 3x3 matrix B, not the identity matrix or zero matrix, such that AB=BA. Choose the correct answer below. There is only one unique solution, B = O A (Simplify your answers.) OB. There are infinitely many solutions. Any multiple of I3 will satisfy the expression. OC. There does not exist a matrix, B, that will satisfy the expression.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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Let A = Compute AD. AD = 1 1 1 157 176 Compute DA. DA = and D = A. 600 050 Compute AD and DA. Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Find a 3×3 matrix B, not the identity matrix or zero matrix, such that AB = BA. 004 Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Choose the correct answer below. A. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each row entry of A by the corresponding diagonal entry of D. B. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each column entry of A by the corresponding diagonal entry of D. C. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each column of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each row of A by the corresponding diagonal entry of D. D. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each row of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each column of A by the corresponding diagonal entry of D. Find a 3×3 matrix B, not the identity matrix or zero matrix, such that AB = BA. Choose the correct answer below. There is only one unique solution, B = (Simplify your answers.) B. There are infinitely many solutions. Any multiple of I3 will satisfy the expression. C. There does not exist a matrix, B, that will satisfy the expression.
Transcribed Image Text:Let A = Compute AD. AD = 1 1 1 157 176 Compute DA. DA = and D = A. 600 050 Compute AD and DA. Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Find a 3×3 matrix B, not the identity matrix or zero matrix, such that AB = BA. 004 Explain how the columns or rows of A change when A is multiplied by D on the right or on the left. Choose the correct answer below. A. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each row entry of A by the corresponding diagonal entry of D. B. Both right-multiplication (that is, multiplication on the right) and left-multiplication by the diagonal matrix D multiplies each column entry of A by the corresponding diagonal entry of D. C. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each column of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each row of A by the corresponding diagonal entry of D. D. Right-multiplication (that is, multiplication on the right) by the diagonal matrix D multiplies each row of A by the corresponding diagonal entry of D. Left-multiplication by D multiplies each column of A by the corresponding diagonal entry of D. Find a 3×3 matrix B, not the identity matrix or zero matrix, such that AB = BA. Choose the correct answer below. There is only one unique solution, B = (Simplify your answers.) B. There are infinitely many solutions. Any multiple of I3 will satisfy the expression. C. There does not exist a matrix, B, that will satisfy the expression.
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