Trace and Determinant of a linear map $T$ which is not necessarily diagonalizable
88473
Proof that the trace of a matrix is the sum of its eigenvalues
23224
$\mbox{rank}(A)=1$ implies $\det(A+I)=\mbox{trace}(A)+1$
110325
proof of basic fact that torus actions are diagonalizable
93923
No surjective bounded linear map from $\ell^2(\mathbf{N})$ to $\ell^1(\mathbf{N})$
30049
If $T^m$ is diagonalizable for a $m\in\mathbb N$, then $T$ is diagonalizable.
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
13020
Proof for the funky trace derivative : $d (\operatorname{trace} (ABA'C))$?
102935
Trace and determinant of composition of a left-multiplication and a right-multiplication on a space of matrices
517
Determinant of a specially structured matrix ($a$'s on the diagonal, all other entries equal to $b$)
25874
Showing that a certain map is not flat by explicit counterexample
96530
Matrix representation of linear map in this basis
36613
Prove that simultaneously diagonalizable matrices commute
15197
Relation between trace and rank for projection matrices
133756
Geometric interpretation of $\det(A^T) = \det(A)$
80751
diagonalisability of matrix few properties
118190
Determinant of a Toeplitz matrix