Consider the linear transformation T: M₂,2 ->> For example, (a) Compute the following: T(D) - T([:])- T ([i]) = T(D)- = = [21₁ A = M2,2 given by T(X) = AXA. 4 T ¹( D-E DR JR D-6 1 = = 7

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(b) Find the matrix of T with respect to the basis
[T] B,B
B =
10
0
{[1].6 · · }
[][]}
Transcribed Image Text:(b) Find the matrix of T with respect to the basis [T] B,B B = 10 0 {[1].6 · · } [][]}
Consider the linear transformation T: M₂,2 → M2,2 given by
For example,
(a) Compute the following:
T
(1:1)
=
T
-([!]) =
T
([i:]) =
T ( [i]) =
A=21
A =
T(X) = = AXA.
2
1
54
T
¹(R² D-E DR JR 1-6 1
=
=
Transcribed Image Text:Consider the linear transformation T: M₂,2 → M2,2 given by For example, (a) Compute the following: T (1:1) = T -([!]) = T ([i:]) = T ( [i]) = A=21 A = T(X) = = AXA. 2 1 54 T ¹(R² D-E DR JR 1-6 1 = =
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