Sympletic matrix must have a determinant equal to one.
34445
Why is the determinant of a symplectic matrix 1?
45658
Determinant of a special $n\times n$ matrix
45261
Why is the determinant of a rotation matrix equal to 1?
38436
If an orthogonal matrix has determinant -1 then it has -1 as an eigenvalue
72326
Determinant of block matrix with commuting blocks
122801
Probability of having zero determinant
22933
Closed-form solution for the determinant of a Vandermonde-like matrix
144221
Matrix determinant lemma with adjugate matrix
101926
If $Q$ is a proper orthogonal transformation matrix, deduce that $\det(1-Q)=0$.
37537
Show that $det(A)=0$ for a Matrix $A$ Such That for $X=[2,3,4]^{T}$, $AX=0$
122951
If the $\det(A)=0$ why does the matrix $A$ have an eigenvector?
153961
Determinant of $2 \times 2$ block matrix with commuting blocks
75104
Existence of some type matrix
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
128990
Prove that, at least one of the matrices $A+B$ and $A-B$ has to be singular
118190
Determinant of a Toeplitz matrix
54740
Proofs of Determinants of Block matrices