Question

Give one example of Diagonal matrix.

Answer 1

the main diagonal of the matrix consists of those elements there are row , column are equal

Answer 2

One example of Diagonal matrix is

$\displaystyle\begin{pmatrix} 4 & 0 & 0\\ 0 & 2 & 0 \\ 0 & 0 & 1 \end{pmatrix}$

Given :

Diagonal matrix

To find :

One example of Diagonal matrix

Solution :

Step 1 of 2 :

Define Diagonal Matrix

A square matrix is said to be a diagonal matrix if the elements other than the diagonal elements are zero

The diagonal matrix $\sf{(d_{ij})_{n,n }}$

$\sf{is \: denoted \: by \: \: diag(d_{11},d_{12}, ....,d_{nn})}$

Step 2 of 2 :

Give one example of Diagonal matrix

One example of Diagonal matrix is

$A = \displaystyle\begin{pmatrix} 4 & 0 & 0\\ 0 & 2 & 0 \\ 0 & 0 & 1 \end{pmatrix}$

The matrix is also written as

A= diag (4,2,1)

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