Matrix in Quantum Mechanics

Matrix:

A matrix is a rectangular array of real numbers containing m rows and n columns. An mxn matrix contains m rows and n columns and can be expressed as:

The quantities aij are called the entries or components of the matrix. The entry at the ith row and jth column of matrix A is denoted by the corresponding lowercase alphabet with subscripts.

Square Matrix:

Diagonal (Triangular) Matrix:

Symmetric Matrix:

Square Matrix:

Transpose Matrix:

Orthogonal Matrix: