How to prove that $\det(A)\geq 1$?
67784
If $A + A^t = 2I$ then $\det(A) \geq 1$
11557
How to prove $\det(e^A) = e^{\operatorname{tr}(A)}$?
7384
How do I prove that $m(TE)=\left|\det(T)\right|m(E)$?
63124
Show that $ \lVert A \rVert_2^2 \leq \lVert A \rVert _1 \lVert A \rVert _ \infty $
57771
Let $A\in M_{n\times n}(\Bbb R)$ so that $I\notin span(A,A^2,...,A^n)$. Prove that $\det(A)=0$.
90343
Proving the inequality $|e^z-1|\leq e^{|z|}-1$
4315
show that if $n\geq1$, $(1+{1\over n})^n<(1+{1\over n+1})^{n+1}$
9574
How to show that $\det(AB) =\det(A) \det(B)$?
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
71442
How to prove $\det(I+uv^\intercal)=1+v^\intercal u$
60900
If $A^2=-I$, Prove that $\det{A}=1$
106305
Prove/disprove: if $\det(A+X) = \det(B + X)$ for all $X$, then $A=B$
68538
Show that if $ A(t) \in \mathbb{R ^{n×n}}$ is a differentiable function of $t$ then $\frac{d(det A(t))}{dt}$
103061
Why is it true that $\mathrm{adj}(A)A = \det(A) \cdot I$?
52750
Prove that $f^\ast\omega=\det f \cdot \omega$
84775
How to evaluate $\det (1+x_iy_j)_{n\times n}$?
147207
Is it always true that $\det(A^2+B^2)\geq0$?