1 1 1 5 0 0 Let A= 14 5 and D =0 3 0 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, no 15 6 0 0 2 the identity matrix or zero matrix, such that AB = BA. Compute AD. AD = Compute DA. DA =O 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. O 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 O B. 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. OC. 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 o 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.
1 1 1 5 0 0 Let A= 14 5 and D =0 3 0 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, no 15 6 0 0 2 the identity matrix or zero matrix, such that AB = BA. Compute AD. AD = Compute DA. DA =O 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. O 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 O B. 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. OC. 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 o 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5 0 0
Let A = 1 4 5 and D= 0 3 0
111
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
15 6
0 0 2
the identity matrix or zero matrix, such that AB = BA.
Compute AD.
AD =O
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.
O 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.
O B. 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.
OC. 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.
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.)
O B. There are infinitely many solutions. Any multiple of I, will satisfy the expression.
OC. There does not exist
matrix, B, that will satisfy the expression.
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