Prove $(Ma)\times(Mb)=(\det M)(M^{-1})^T(a\times b)$ for matrix transformation $M$.
77587
Cross product: matrix transformation identity
149086
Determining $\mbox{tr}(A)$ and $\det(A)$ as functions of the eigenvalues of a matrix
55680
The relationship of ${\frak m+m=m}$ to AC
8970
Proving the cross product matrix tranformation identity with an alternative solution
52040
"Inverse" of an $n\times k$ matrix.
38378
$M= \{ A \in Mat_{2 \times 2}{\mathbb{R}}| \det(A)=1 \}$ is homeomorphic to $S^{1} \times \mathbb{R}^{2}$
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
129743
$A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
22215
How to prove Binet theorem, namely $\det ( AB ) = \det (A ) \det ( B )$?
139833
Prove that $\gcd(M, N)\times \mbox{lcm}(M, N) = M \times N$.
135421
Determinant of an $n\times n$ Toeplitz matrix
11557
How to prove $\det(e^A) = e^{\operatorname{tr}(A)}$?
137422
$\mathrm{card}(\mathbb{Z}^n/M\mathbb{Z}^n) = |\det(M)|$?
84775
How to evaluate $\det (1+x_iy_j)_{n\times n}$?
38200
Show that $(\mathbf{a}·\mathbf{a})(\mathbf{b}·\mathbf{b})-(\mathbf{a}·\mathbf{b})^2=(\mathbf{a}\times\mathbf{b})·(\mathbf{a}\times\mathbf{b})$?
46825
The identity det(A) = exp(Tr(ln(A)) for A general