Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

A square matrix $B=[bij]_{n×n}$ where

$bij =0 $ when i#j

$bij= k$ when $i=j$ for some constant k is called :

Options:

Diagonal matrix

Identity matrix

Scalar matrix

Null matrix

Correct Answer:

Diagonal matrix

Explanation:

The correct answer is Option (1) → Diagonal matrix

$B_{n×n}=\begin{bmatrix}k&0&0...&0\\0&k&0...&0\\....\\0&0&0...&k\end{bmatrix}$

so $B=KI_n$

so B is a diagonal matrix