How do I proof that the determinant of this matrix has the form $(z-1)^{n-1} (z+(n-1))$?
517
Determinant of a specially structured matrix ($a$'s on the diagonal, all other entries equal to $b$)
2271
Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
259
Proving the determinant of a tridiagonal matrix with $-1, 2, -1$ on diagonal.
69735
Find the determinant of the following matrix
57027
Determinant of this skew symmetric matrix
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
98646
Show determinant of matrix is non-zero
133449
A proof that an orthogonal matrix with a determinant 1 is a rotation matrix
119076
General expression for determinant of a block-diagonal matrix
78224
Suppose $A$ is a general $n \times n$ matrix and $B$ is obtained by interchanging two rows of $A$. Prove that $\det(B) = -\det(A)$
118190
Determinant of a Toeplitz matrix
64742
Prove a residue matrix $A$ (with coefficients in $\mathbb Z_n)$ has an inverse if and only if $\gcd(\det A,n) = 1$
87425
Prove that if $A$ is a square matrix with integer entries and $\det(A) = \pm 1$, then $A^{-1}$ contains all integer entries.
116376
Prove the determinant is the product of its diagonal entries
121358
What is the exact relation between a full rank matrix and its determinant?
81181
Prove that $\det(M-I)=0$ if $\det(M)=1$ and $MM^T=I$
10083
Determinant of matrix times a constant.