With the linear maps $T_1$ and $T_2$ be linear endomorphisms on a vector space $V$. If $T_2$ is diagonalizable, is $T_1$$(T_2)$ also diagonalizable? Also if $f(T)$ = $T_1(T_2)$ is $f$ diagonalizable? How do I show this is the case?
2026-03-27 23:29:58.1774654198
Determining if a linear transformation composition is diagonalizable.
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What if $T_1$ is not diagonalizable, and $T_2$ is the identity map?