(c) T1(T1(x)) = Ax -1 55 A = -22 54 (d) T2(T2(x)) = Ax A =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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please solve part d

(c)
T1(T1(x)) = Ax
-1
55
A =
-22
54
(d)
T2(T2(x)) = Ax
A =
Transcribed Image Text:(c) T1(T1(x)) = Ax -1 55 A = -22 54 (d) T2(T2(x)) = Ax A =
Let T1 and T2 be linear transformations given by
韓
X1
ЗX1 + 5x2
X2
-2x1 + 8x2
-2x1 + 9x2
X1
T2
=
5x2
Find the matrix A such that the following is true.
(a)
T1(T2(x)) :
= Ax
-6
52
A =
4
22
(b)
T2(T1(x)) = Ax
-24
62
A =
-10
40
(c) T1(T1(x)) = Ax
-1
55
A =
-22
54
Transcribed Image Text:Let T1 and T2 be linear transformations given by 韓 X1 ЗX1 + 5x2 X2 -2x1 + 8x2 -2x1 + 9x2 X1 T2 = 5x2 Find the matrix A such that the following is true. (a) T1(T2(x)) : = Ax -6 52 A = 4 22 (b) T2(T1(x)) = Ax -24 62 A = -10 40 (c) T1(T1(x)) = Ax -1 55 A = -22 54
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