If $\det(AB)=4$ then find the value of $\det(BA)$
85167
When A and B are of different order given the $\det(AB)$,then calculate $\det(BA)$
10083
Determinant of matrix times a constant.
84422
$AB=BA$, $AC=CA$ we need to show $BC=CB$
9574
How to show that $\det(AB) =\det(A) \det(B)$?
106305
Prove/disprove: if $\det(A+X) = \det(B + X)$ for all $X$, then $A=B$
50266
In the following figure prove that: $AK||BC$
67784
If $A + A^t = 2I$ then $\det(A) \geq 1$
5183
Divisibility of determinant.
72092
If $A^2 = I$, $B^2=I$ and $(AB)^2=I$, then $AB = BA$
75356
Show that the area of a triangle is given by this determinant
101040
Prove the equality: $\det\left[\begin{smallmatrix} -2a &a+b &a+c \\ b+a&-2b &b+c \\ c+a&c+b &-2c \end{smallmatrix}\right] = 4(a+b)(b+c)(c+a)$
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
105921
Why do we have $ab=ba$?
24873
Determinant of elementary permutation matrix
55056
To show: $\det\left[\begin{smallmatrix} -bc & b^2+bc & c^2+bc\\ a^2+ac & -ac & c^2+ac \\ a^2+ab & b^2+ab & -ab \end{smallmatrix}\right]=(ab+bc+ca)^3$
80134
Maximum and minimum value of Determinant of $3 \times 3$ Matrix with entries $\pm 1$
129743
$A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$