6. [-/1 Points] DETAILS MY NOTES LARLINALG8 6.4.023. Suppose A is the matrix for T: R³ R3 relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. A'= 1 2 0 A = 1 0 0 002 B' = {(-1, 1, 0), (2, 1, 0), (0, 0, 1)} Need Help? Read It Submit Answer 1 7. [-/1 Points] DETAILS MY NOTES LARLINALG8 6.4.028. = P-1 AKP. Use this fact to find B4, where B = P-1 AP, for the matrices If A and B are similar, then there exists a matrix P such that Bk 0 -3-4 [ 32 p-1 = 1-2 ₁ = [ 1 ], B = [ ˜¯³ ³ − ], P = { } } ]-[43] A 03 6 7 1 1 -1 B4 =
6. [-/1 Points] DETAILS MY NOTES LARLINALG8 6.4.023. Suppose A is the matrix for T: R³ R3 relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. A'= 1 2 0 A = 1 0 0 002 B' = {(-1, 1, 0), (2, 1, 0), (0, 0, 1)} Need Help? Read It Submit Answer 1 7. [-/1 Points] DETAILS MY NOTES LARLINALG8 6.4.028. = P-1 AKP. Use this fact to find B4, where B = P-1 AP, for the matrices If A and B are similar, then there exists a matrix P such that Bk 0 -3-4 [ 32 p-1 = 1-2 ₁ = [ 1 ], B = [ ˜¯³ ³ − ], P = { } } ]-[43] A 03 6 7 1 1 -1 B4 =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
Related questions
Question
![6. [-/1 Points]
DETAILS
MY NOTES
LARLINALG8 6.4.023.
Suppose A is the matrix for T: R³ R3 relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'.
A'=
1 2 0
A =
1 0 0
002
B' = {(-1, 1, 0), (2, 1, 0), (0, 0, 1)}
Need Help?
Read It
Submit Answer
1
7. [-/1 Points]
DETAILS
MY NOTES
LARLINALG8 6.4.028.
=
P-1 AKP. Use this fact to find B4, where B = P-1 AP, for the matrices
If A and B are similar, then there exists a matrix P such that Bk
0
-3-4
[
32
p-1 =
1-2
₁ = [ 1 ], B = [ ˜¯³ ³ − ], P = { } } ]-[43]
A
03
6 7
1 1
-1
B4 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7410b49b-4737-4519-bf59-ff73aeeb4cca%2F0369d48e-50d9-478c-9ba4-0aedb6d939ee%2Fh9wcllg_processed.png&w=3840&q=75)
Transcribed Image Text:6. [-/1 Points]
DETAILS
MY NOTES
LARLINALG8 6.4.023.
Suppose A is the matrix for T: R³ R3 relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'.
A'=
1 2 0
A =
1 0 0
002
B' = {(-1, 1, 0), (2, 1, 0), (0, 0, 1)}
Need Help?
Read It
Submit Answer
1
7. [-/1 Points]
DETAILS
MY NOTES
LARLINALG8 6.4.028.
=
P-1 AKP. Use this fact to find B4, where B = P-1 AP, for the matrices
If A and B are similar, then there exists a matrix P such that Bk
0
-3-4
[
32
p-1 =
1-2
₁ = [ 1 ], B = [ ˜¯³ ³ − ], P = { } } ]-[43]
A
03
6 7
1 1
-1
B4 =
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