Prove that if A has eigenvalues then determinant of A is the product of eigenvalues
98135
Show that the determinant of $A$ is equal to the product of its eigenvalues
37537
Show that $det(A)=0$ for a Matrix $A$ Such That for $X=[2,3,4]^{T}$, $AX=0$
517
Determinant of a specially structured matrix ($a$'s on the diagonal, all other entries equal to $b$)
135420
Determining eigenvalues, eigenvectors of $A\in \mathbb{R}^{n\times n}(n\geq 2)$.
7376
Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$
80544
Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
128453
If $A$ has two eigenvalues $\lambda _1, \lambda_2$ and $\dim (E_{\lambda_1})=n-1$, then $A$ is diagonalizable
10083
Determinant of matrix times a constant.
18964
Find the determinant of $I + A$
101631
Determinant of a finite-dimensional matrix in terms of trace
4509
Proof that an involutory matrix has eigenvalues 1,-1
71151
If $a_{ij}=\max(i,j)$, calculate the determinant of $A$
14646
Prove $\det(kA)=k^n\det A$
20331
Determinant of a $2\times 2$ block matrix
106288
Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
51834
Positivity of a determinant
4952
Let $A$ be a diagonalizable matrix and $\lambda$ be an eigenvalue of A. Prove that rank($\lambda I - A$) = rank(($\lambda I - A)^2$).