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

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

Expert Solution

If you have any doubts please ask me in comment...

The last stement is wrong because if we have skew symmetric matrix the possiblity happen..

Colby Messinger answered 1 year ago

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