Matrix - Square, Scalar, Symmetric, Skew symmetric

Square matrix
If the number of rows and columns are equal then the matrix is called a square matrix.

Scalar Matrix
A square matrix in which all the elements in the main diagonal are equal and the rest of the elements are zero.

Symmetric Matrix
If the transpose of matrix is equal to matrix itself then the matrix is called symmetric matrix.

Skew symmetric matrix
If the transpose of a matrix is equal to the additive inverse of the given matrix then the given matrix is called skew symmetric matrix.