Proving determinant value zero: $\det(M-I)=0$
81181
Prove that $\det(M-I)=0$ if $\det(M)=1$ and $MM^T=I$
14646
Prove $\det(kA)=k^n\det A$
60900
If $A^2=-I$, Prove that $\det{A}=1$
98646
Show determinant of matrix is non-zero
63118
Finding the closed form of the determinant of the Hilbert matrix
101313
Minimal polynomial, determinants and invertibility
15452
Proving determinant product rule combinatorially
101631
Determinant of a finite-dimensional matrix in terms of trace
81818
Prove or disprove : $\det(A^k + B^k) \geq 0$
142980
If $\,A^k=0$ and $AB=BA$, then $\,\det(A+B)=\det B$
116376
Prove the determinant is the product of its diagonal entries
127085
Bound on the difference of two determinants
5183
Divisibility of determinant.
125348
Does $\det(A + B) = \det(A) + \det(B)$ hold?
45261
Why is the determinant of a rotation matrix equal to 1?
84341
Can the determinant of a matrix can be made $0$?
118190
Determinant of a Toeplitz matrix