Why does $\det(A-\lambda I) = 0$
52621
Why is $\det(A - \lambda I)$ zero?
101631
Determinant of a finite-dimensional matrix in terms of trace
11557
How to prove $\det(e^A) = e^{\operatorname{tr}(A)}$?
129647
$A^{-1}$ has integer entries if and only if the ${\rm det}\ (A) =\pm 1$
43385
Why is $\frac{\operatorname dy'}{\operatorname dy}$ zero, since $y'$ depends on $y$?
67784
If $A + A^t = 2I$ then $\det(A) \geq 1$
21885
Why is the determinant useful when finding eigenvectors?
42334
Does $\lambda$ $\mathbf u$ $= 0$ imply $\lambda = 0$ or $\mathbf u$ $= 0$?
49946
A determinant coming out from the computation of a volume form
141628
How did the equation $|A- \lambda I| = 0$ came for finding Eigen values of a Matrix
100968
Why is $|e^{i \lambda z}| |e^{- \lambda y}|= |e^{- \lambda y}|$ here?
142980
If $\,A^k=0$ and $AB=BA$, then $\,\det(A+B)=\det B$
122801
Probability of having zero determinant
51834
Positivity of a determinant
81818
Prove or disprove : $\det(A^k + B^k) \geq 0$
68973
Is the determinant differentiable?
87676
Why is determinant a multilinear function?