Let and T : R4 R4 be given by 33 = 10 12 310 220 [5/2 3/2 -1 0 0 1/2 0 0 T(x) = X. 0 0 5/4 1/4 0 0 -1/2 1/2] Find the B-matrix of T, that is, find a matrix A = R4×4 so that [T(7)] = A[7] B 23 for all x = R4.
Let and T : R4 R4 be given by 33 = 10 12 310 220 [5/2 3/2 -1 0 0 1/2 0 0 T(x) = X. 0 0 5/4 1/4 0 0 -1/2 1/2] Find the B-matrix of T, that is, find a matrix A = R4×4 so that [T(7)] = A[7] B 23 for all x = R4.
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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![Let
and T : R4 R4 be given by
33 =
10 12
310
220
[5/2 3/2
-1
0
0
1/2
0
0
T(x) =
X.
0 0
5/4 1/4
0 0
-1/2 1/2]
Find the B-matrix of T, that is, find a matrix A = R4×4 so that
for all x € R4.
[T(7)] 33 = A[7] B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4217e83c-b4b2-47da-9d7a-2d6031448fca%2Fb88d0a74-bf3f-4773-bd39-9250ab7eeaf1%2Fsy9v13h_processed.png&w=3840&q=75)
Transcribed Image Text:Let
and T : R4 R4 be given by
33 =
10 12
310
220
[5/2 3/2
-1
0
0
1/2
0
0
T(x) =
X.
0 0
5/4 1/4
0 0
-1/2 1/2]
Find the B-matrix of T, that is, find a matrix A = R4×4 so that
for all x € R4.
[T(7)] 33 = A[7] B
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