Question 8 Find the matrix of the given linear transformation T with re- spect to the given basis. Determine if T is an isomorphism. If T is not an isomorphism find bases of the kernel and the image of T. Then Determine the rank of T. T(M) = [1] M-M11] from R2x2 to R2x2 with respect to the basis (113616) B= =

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Question 8 Find the matrix of the given linear transformation T with re-
spect to the given basis. Determine if T is an isomorphism. If T is not an
isomorphism find bases of the kernel and the image of T. Then Determine
the rank of T.
M - M
1 1
T(M) = [11] M
(141618)
B=
from R2x2 to R2x2 with respect to the basis
Transcribed Image Text:Question 8 Find the matrix of the given linear transformation T with re- spect to the given basis. Determine if T is an isomorphism. If T is not an isomorphism find bases of the kernel and the image of T. Then Determine the rank of T. M - M 1 1 T(M) = [11] M (141618) B= from R2x2 to R2x2 with respect to the basis
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