Proof that the product of a symmetric matrix and its transpose is also symmetric
61538
Given a square matrix $A$, both $AA^T$ and $A^TA$ are symmetric
22222
Properties of zero-diagonal symmetric matrices
134709
Express symmetric polynomial $\prod_{i < j} (X_i+X_j)$ in terms of elementary symmetric functions
56312
Why can this product of rectangular matrices not be the identity matrix?
98135
Show that the determinant of $A$ is equal to the product of its eigenvalues
99600
Show that a 2x2 matrix A is symmetric positive definite if and only if A is symmetric, trace(A) > 0 and det(A) > 0
116136
Proof that the inverse of a square matrix is unique
21363
Prove the uniqueness of an inner product
47589
Product of a primitive matrix and its transpose.
55031
Show any matrix $A_{n\times n}$ can be written as sum of two nonsingular matrices
18585
Showing $A-I$ is invertible, when $A$ is a skew-symmetric matrix
8356
Any $n \times n$ matrix $A$ can be written as $A = B + C$ with $B$ is symmetric and $C$ skew-symmetric.
75066
If the product of two square matrices is invertible, then both matrices are invertible
58491
Proving the inverse of a matrix as a polynomial of matrices
19203
Is the rank of a matrix the same of its transpose? If yes, how can I prove it?
138342
Proof of a matrix exponential identity
133449
A proof that an orthogonal matrix with a determinant 1 is a rotation matrix