Diagonal Matrix – Definition and Examples

Here you will learn what is the diagonal matrix definition and order of diagonal matrix with examples.

Let’s begin –

Diagonal Matrix

Definition : A square matrix A = [aij]n×n is called a diagonal matrix if all the elements, except those in the leading diagonal, are zero

i.e. aij = 0  for all i j.

A diagonal matrix of order n×n having d1, d2, …. , dn as diagonal elements is denoted by diag[d1,d2,.,dn].

Also Read : Different Types of Matrices – Definitions and Examples

Examples :

1). [100020003] is a diagonal matrix.

The order of above matrix is 3×3 and it is denoted by diag[1, 2, 3].

2). [2002] is a diagonal matrix.

The order of above matrix is 2×2 and it is denoted by diag[2, -2].

3). [1000020000300004] is a diagonal matrix.

The order of above matrix is 4×4 and it is denoted by diag[1, 2, 3, 4].

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