Let A AX Solution. Let X ΧΑ X₂ = = X3 = - (1 2²0) 1 0 6 2 -4 x+20*Z = 4*x+Z x+4*y 4*t+z 5 10 Find all matrices that are commutative to A. Fill in these matrices with suitable numbers so that they commutative to A: X₁ = (²²) t be the desired matrix. Compute 20*t+y t+4*y 20*x+y t+20*z

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 82E: Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.
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Question
Let A
AX
Solution. Let X
ΧΑ
=
X₂ =
X3 =
-
(120)
0
6
2
-4
x+20*Z
=
4*x+Z
x+4*y
4*t+z
5
10
Find all matrices that are commutative to A.
(²²)
t
Fill in these matrices with suitable numbers so that they commutative to A:
X₁ =
be the desired matrix. Compute
Please put an answer in each input field.
20*t+y
t+4*y
20*x+y
t+20*z
Transcribed Image Text:Let A AX Solution. Let X ΧΑ = X₂ = X3 = - (120) 0 6 2 -4 x+20*Z = 4*x+Z x+4*y 4*t+z 5 10 Find all matrices that are commutative to A. (²²) t Fill in these matrices with suitable numbers so that they commutative to A: X₁ = be the desired matrix. Compute Please put an answer in each input field. 20*t+y t+4*y 20*x+y t+20*z
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