Calculate the determinant of the following $n \times n$ symmetric matrix:
135421
Determinant of an $n\times n$ Toeplitz matrix
48113
Find a basis for the vector space of symmetric matrices with an order of $n \times n$
18964
Find the determinant of $I + A$
106511
Determinant of the sum of matrices: $\det (A + B^T) = \det(A^T + B)$
78224
Suppose $A$ is a general $n \times n$ matrix and $B$ is obtained by interchanging two rows of $A$. Prove that $\det(B) = -\det(A)$
20653
Geometric meaning of the determinant of a matrix
49960
Calculating Vandermonde determinant
84279
The average determinant of all integer matrices with coefficients $0,1,2$
151526
Determinant of a matrix with different cases for its entries
72578
Determinant value of a square matrix whose each entry is the g.c.d. of row and column position
110825
Determinant of circulant matrix
20331
Determinant of a $2\times 2$ block matrix
10793
How to compute the determinant of a tridiagonal matrix with constant diagonals?
40706
Computing determinant without expansion
116376
Prove the determinant is the product of its diagonal entries
51800
We have matrix $A\in M_{n-1\times n}(\mathbb Z)$ so that the sum of entries in each row is zero. Prove that $\det(AA^T)=nk^2.$
7376
Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$