5) Call TA : R → R' the linear map whose matrix in the standard basis of R' is A. For which one of these values of A is TA an isomorphism? 1 1 1 2 2 -2 0 2, a) A = 2 (1 0 1 b) A = 2 1 3 31 4 o 0 1 c) A = 0 1 0 10 0

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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5) Call TA : R + R° the linear map whose matrix in the standard basis of R³ is A.
For which one of these values of A is TA an isomorphism?
1 1 1\
a) A = 2
2 2
-2 0 2
(1 0 1'
b) A = 2 1 3
3 1 4
(0 0 1
c) A = 0 1 0
Transcribed Image Text:5) Call TA : R + R° the linear map whose matrix in the standard basis of R³ is A. For which one of these values of A is TA an isomorphism? 1 1 1\ a) A = 2 2 2 -2 0 2 (1 0 1' b) A = 2 1 3 3 1 4 (0 0 1 c) A = 0 1 0
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