Express a matrix $A$ as the sum of a symmetric and 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.
138104
Algebra-sum of entries in each column of a sqaure matrix = constant
12733
How to denote matrix concatenation?
108012
A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
136329
A matrix is similar to its transpose
107992
Bilinear form with symmetric "perpendicular" relation is either symmetric or skew-symmetric
57916
Transpose of product of matrices
50615
Expressing a Non Negative Integer as Sums of Two Squares
52564
$m\times n$ matrix with an even number of 1s in each row and column
133295
How to solve this set of symmetric polynomial expressions
94639
Proof that the rank of a skew-symmetric matrix is at least $2$
101040
Prove the equality: $\det\left[\begin{smallmatrix} -2a &a+b &a+c \\ b+a&-2b &b+c \\ c+a&c+b &-2c \end{smallmatrix}\right] = 4(a+b)(b+c)(c+a)$
75796
Is every skew-adjoint matrix a commutator of two self-adjoint matrices
155479
Summation of inner products
45532
Let $A$ be a $n\times n$ matrix with entries $a_{ij}=i+j $ . Calculate rank of $A$
138342
Proof of a matrix exponential identity
62614
How to get matrix $A$ from $A^\top A=B$ with given symmetric matrix $b$?