New posts in determinant

Prove that the set of $n$-by-$n$ real matrices with positive determinant is connected

linear-algebra general-topology matrices determinant connectedness

How does Cramer's rule work?

linear-algebra matrices systems-of-equations determinant

$3 \times 3$ matrix with determinant a large power of $2$

linear-algebra matrices elementary-number-theory determinant

If $(A-B)^2=AB$, prove that $\det(AB-BA)=0$.

linear-algebra matrices determinant

Is this determinant always non-negative?

linear-algebra matrices determinant

How to find the determinant of this $3 \times 3$ Hankel matrix?

linear-algebra matrices determinant hankel-matrices

Slick proof the determinant is an irreducible polynomial

linear-algebra algebraic-geometry determinant

Why is the determinant of a symplectic matrix 1?

linear-algebra matrices determinant symplectic-linear-algebra

Proof If $AB-I$ Invertible then $BA-I$ invertible. [duplicate]

linear-algebra matrices determinant

Meaning of the identity $\det(A+B)+\text{tr}(AB) = \det(A)+\det(B) + \text{tr}(A)\text{tr}(B)$ (in dimension $2$)

linear-algebra reference-request determinant quadratic-forms trace

If $A$ is positive definite, then $\int_{\mathbb{R}^n}\mathrm{e}^{-\langle Ax,x\rangle}\text{d}x=\left|\det\left({\pi}^{-1}A\right)\right|^{-1/2}$

real-analysis integration matrices normal-distribution determinant

Proof relation between Levi-Civita symbol and Kronecker deltas in Group Theory

linear-algebra group-theory determinant vector-analysis

Direct formula for area of a triangle formed by three lines, given their equations in the cartesian plane.

algebra-precalculus geometry determinant analytic-geometry coordinate-systems

Expressing the determinant of a sum of two matrices?

linear-algebra matrices multivariable-calculus determinant

How to determine the basis with given vectors?

linear-algebra matrices determinant

Characterization of positive definite matrix with principal minors

linear-algebra matrices determinant alternative-proof positive-definite

Geometric meaning of the determinant of a matrix

linear-algebra geometry determinant intuition

Why is the determinant defined in terms of permutations?

linear-algebra matrices permutations definition determinant

What is the origin of the determinant in linear algebra?

linear-algebra matrices determinant

Is a matrix $A$ with an eigenvalue of $0$ invertible?

linear-algebra matrices eigenvalues-eigenvectors solution-verification determinant