Show that if $RT = TR$ then $R$ and $T$ are given by diagonal matrices
66092
Simultaneous diagonalization of commuting linear transformations
158724
Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues
124942
Prove that an upper triangular matrix is invertible if and only if every diagonal entry is non-zero.
132366
Diagonalizability of $A \in M_{n}(\Bbb{R})$ (Upper traingular matrix) with all diagonal entries 1 and $A \neq I$?
33355
Proving that matrix in equation is invertible
136329
A matrix is similar to its transpose
94383
Prove that $A^TD-C^TB=I$
104258
Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$
94378
Is Linear transformations $T_1,T_2 : \mathbb{R}^n\rightarrow \mathbb{R}^n$ Invertible?
135420
Determining eigenvalues, eigenvectors of $A\in \mathbb{R}^{n\times n}(n\geq 2)$.
35013
Demonstration: If all vectors of $V$ are eigenvectors of $T$, then there is one $\lambda$ such that $T(v) = \lambda v$ for all $v \in V$.
36090
$TT^*=T^2$, show that $T$ is self-adjoint
95677
Linear Matrix Inequality of a matrix $T$ with $\| T \|_2 < \rho$
3682
If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable
141015
Proof of orthogonal matrix
11557
How to prove $\det(e^A) = e^{\operatorname{tr}(A)}$?
103839
Proving that $T^{2} = T$ for a linear operator on $W$ implies that $V = \operatorname{Null} T \oplus \operatorname{Range} T$