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.

Solutions

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 11 months ago

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