Question
Let $A$ be an $n$ -square matrix for which $A^{k}=0$ for some $k>n .$ Show that $A^{n}=0$
Step 1
This implies that the minimal polynomial of $A$, denoted as $m(t)$, divides the polynomial $t^k$. Show more…
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Let $A$ be an $n$ -square matrix. Prove $|k A|=k^{n}|A|$
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