Question

A square matrix is said to be ------ if all its non diagonal elements are zero.


a.

Scalar matrix

b.

Unit Matrix

c.

Diagonal Matrix

d.

Sub Matrix

​

Answer 1

SOLUTION :-

TO DETERMINE :-

A square matrix is said to be ------ if all its non diagonal elements are zero.

a. Scalar matrix

b. Unit Matrix

c. Diagonal Matrix

d. Sub Matrix

CONCEPT TO BE IMPLEMENTED :-

DIAGONAL MATRIX

A matrix M is said to be Diagonal matrix if all the elements other than the diagonal matrix are zero

Example

1. Null matrix is a Diagonal matrix

2. Identity matrix is a diagonal matrix

3. $A= \displaystyle\begin{pmatrix} 1 & 0\\ 0 & 0 \end{pmatrix}$

is a Diagonal matrix

EVALUATION :-

A square matrix is said to be Diagonal Matrix if all its non diagonal elements are zero.

Hence the correct option is

b. Diagonal Matrix

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