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Consider a transformation T : R2x2 -> R2x2 such that T(M) = MT . This is...

Consider a transformation T : R2x2 -> R2x2 such that T(M) = MT . This is in fact a linear transformation. Based on this, justify if the following
statements are true or not.
a) T . T is the identity transformation.
b) The kernel of T is the zero matrix.
c) Range T = R2x2
d) T(M) =-M is impossible.

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