BY Team Aakash Byju's

Diagonal Matrix Explained With Examples:

NCERT Maths Class 12

Diagonal Matrix Definition

A square matrix in which all its non diagonal elements are zeros is called a diagonal matrix.

Determinant of a Diagonal Matrix

A diagonal matrix's determinant is the product of its diagonal elements.

Example

Identity matrix and scalar matrix are the examples of a diagonal matrix.

Properties of Diagonal Matrix

Property 1

The sum of the diagonal matrix of same order gives a diagonal matrix.

Property 2

Transpose of the diagonal matrix A gives the same matrix.

Property 3

Diagonal Matrices are commutative under Multiplication.  i.e. AB = BA