Use the matrix P to determine if the matrices A and A' are similar. -1 -1 14 6 A = 2 P 1 -20 -11 1 -4 p-1, p-1ap = p-lAP =

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the matrix P to determine if the matrices A and A' are similar.
-1 -1
14
6.
P =
1
A =
2
A' =
-20 -11
1 -4
p-1
p-1aP =
%3D
Transcribed Image Text:Use the matrix P to determine if the matrices A and A' are similar. -1 -1 14 6. P = 1 A = 2 A' = -20 -11 1 -4 p-1 p-1aP = %3D
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'.
-1 -2 0
A =
-1
0 0
0 1
B' = {(-1, 1, 0), (2, 1, 0), (0, 0, 1)}
A' =
I 1
Transcribed Image Text: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'. -1 -2 0 A = -1 0 0 0 1 B' = {(-1, 1, 0), (2, 1, 0), (0, 0, 1)} A' = I 1
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