Let R, S and T be linear transformations on R2 such that

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let R, S and T be linear transformations on R² such that
1
11
-
R.S.T
2
the matrix of T is A
1
-1
and the matrix of R is C =
01
%3D
-1 2
1 -1
a) Find the matrix D of R•S•T.
0 0 0
D =0 0 0
0 0 0
b) Find the matrix B of S.
0 0 0
B = 0 0 0
0 0 0
Transcribed Image Text:Let R, S and T be linear transformations on R² such that 1 11 - R.S.T 2 the matrix of T is A 1 -1 and the matrix of R is C = 01 %3D -1 2 1 -1 a) Find the matrix D of R•S•T. 0 0 0 D =0 0 0 0 0 0 b) Find the matrix B of S. 0 0 0 B = 0 0 0 0 0 0
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