I encountered this question and I need some assistance to solve it.
$T$ is a linear transformation from $V \to V$
We are given that $T^2 = T$
Show that $T$ can be diagonalized.
2026-04-03 13:51:54.1775224314
Linear transformation diagonalization
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Hint: Assume it can't, then you can still take it in Jordan's normal form. Derive a contradiction using the condition $T^2=T$.