How to prove that if $f^3 = f$, $f$ is diagonalizable?
33477
Proving that if $A$ is a $8\times 8$ matrix over $\mathbb{R}$ and $A^3=A$, then $A$ is diagonalizable.
53399
Proof of the uncountability of reals using the diagonal argument—problem?
19355
prove $f(x)=x^3+x$ is one to one and onto
10828
If $A^2 = I$, then $A$ is diagonalizable, and is $I$ if $1$ is its only eigenvalue
139317
If $A$ is a complex matrix of size $n$ of finite order then is $A$ diagonalizable ?
16092
How to prove that the composition of two surjective functions is surjective
63475
Is there any connection between a matrix being invertible and being diagonalizable?
72541
Is the matrix diagonalizable for all values of t?
3543
Prove set is basis for $R^3$
157925
How to prove that the implicit function theorem implies the inverse function theorem?
6681
How does Cantor's diagonal argument work?
32965
Proving that for infinite $\kappa$, $|[\kappa]^\lambda|=\kappa^\lambda$
30882
Proving Invertibility and Eigenvalues
71833
Are idempotent matrices always diagonalizable?
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
57649
Prove that for every $f$, a bilinear form, there exists a basis ${v_1,...,v_n}$ so that $f(v_i,v_j) = -f(v_j,v_i)$
101042
Suppose we have functions $f:A→B$ and $g:B→C$. Prove that if $f$ and $g$ are invertible, then so is $g \circ f$.