Consider a transformation T : R2×2 → R2×2 such that T(M) = MT . This is infact a...

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Consider a transformation T : R2×2 →R2×2 such that T(M) =MT .
This is infact a linear transformation. Based on this, justify ifthe following
statements are true or not. (2)
a) T â—¦ T is the identitytransformation.
b) The kernel of T is the zero matrix.
c) Range T = R2×2
d) T(M) =-M is impossible.

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