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  • 88 votes cast
Feb
21
comment If $A$ is an invertible $n\times n$ complex matrix and some power of $A$ is diagonal, then $A$ can be diagonalized
"If $A^n$ is a diagonal matrix, then clearly $A^{n−1}=I$", Why?
Feb
20
suggested rejected edit on Solve recurrence equation $T(n)=2T(n-1)-4$
Feb
20
revised Solve recurrence equation $T(n)=2T(n-1)-4$
added 94 characters in body
Feb
20
answered Solve recurrence equation $T(n)=2T(n-1)-4$
Feb
14
awarded  Custodian
Feb
14
reviewed No Action Needed Show that $x^4 + 8$ is irreducible over Z
Feb
14
reviewed Reviewed Find appropriate number fill in the blanks
Feb
14
revised How to prove this following trigonometric equation?
added 3 characters in body
Feb
14
answered How to prove this following trigonometric equation?
Feb
14
awarded  Enthusiast
Feb
11
accepted $A\in M_n(\mathbb C)$ is normal $\iff \forall P\in M_n(\mathbb C) : \ P^{*}AP$ is normal where $P$ is normal?
Feb
11
comment $A\in M_n(\mathbb C)$ is normal $\iff \forall P\in M_n(\mathbb C) : \ P^{*}AP$ is normal where $P$ is normal?
Great:) Thank you very much. Sorry for misleading you (It was kinda obvious to me when I wrote it but I can see why it isn't obvious in general).
Feb
11
revised $A\in M_n(\mathbb C)$ is normal $\iff \forall P\in M_n(\mathbb C) : \ P^{*}AP$ is normal where $P$ is normal?
added 21 characters in body; edited title
Feb
11
comment $A\in M_n(\mathbb C)$ is normal $\iff \forall P\in M_n(\mathbb C) : \ P^{*}AP$ is normal where $P$ is normal?
I want $P^*AP$ to be normal for all $P$.
Feb
11
comment $A\in M_n(\mathbb C)$ is normal $\iff \forall P\in M_n(\mathbb C) : \ P^{*}AP$ is normal where $P$ is normal?
I've edited my question. I was looking for a $P$ which is normal.
Feb
11
revised $A\in M_n(\mathbb C)$ is normal $\iff \forall P\in M_n(\mathbb C) : \ P^{*}AP$ is normal where $P$ is normal?
added 21 characters in body; edited title
Feb
11
comment $A\in M_n(\mathbb C)$ is normal $\iff \forall P\in M_n(\mathbb C) : \ P^{*}AP$ is normal where $P$ is normal?
Because the $B$ I found satisfies $P^{-1}AP=B$ for some $P$ but not satisfies $P^{*}AP=B$ . I should find a $B$ such that $P^*AP=B$.
Feb
11
asked $A\in M_n(\mathbb C)$ is normal $\iff \forall P\in M_n(\mathbb C) : \ P^{*}AP$ is normal where $P$ is normal?
Feb
11
accepted If $f_A(x)=(x+3)^2(x-1)^2$ and $m_A(x) \ne f_A(x)$ then $A$ is diagonalizable over $\mathbb R$?
Feb
11
comment If $f_A(x)=(x+3)^2(x-1)^2$ and $m_A(x) \ne f_A(x)$ then $A$ is diagonalizable over $\mathbb R$?
Timbuc I appreciate your help so much and I'm sorry for driving you crazy only because of arithmetic mistake. Thank you so much for the kind help. I'll be more careful next time.