Let $A$ and $B$ be two square matrices of order $3$ and $AB = O_{3}$,where $O_{3}$ denotes the null matrix of order $3$. Then,

  • A
    must be $A = O_{3}$ and $B = O_{3}$
  • B
    if $A \neq O_{3}$,then $B$ must be $O_{3}$
  • C
    if $A = O_{3}$,then $B$ must be $O_{3}$
  • D
    it is possible that $A \neq O_{3}$ and $B \neq O_{3}$

Explore More

Similar Questions

If $A = \begin{bmatrix} -1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -1 \end{bmatrix}$,then $A^2$ is

If $A = \begin{bmatrix} 1 & 0 \\ 1 & 1 \end{bmatrix}$,then $A^n = \begin{bmatrix} 1 & 0 \\ n & 1 \end{bmatrix}$ for all $n \in N$. Which of the following is correct?

If $A = \begin{bmatrix} 2 & -2 \\ -2 & 2 \end{bmatrix}$,then $A^n = 2^k A$,where $k = $

If $A$ and $B$ are symmetric matrices of the same order,then $AB - BA$ is a

Let $A = \begin{bmatrix} x & 1 \\ 1 & 0 \end{bmatrix}$,$x \in \mathbb{R}$ and $A^{4} = [a_{ij}]$. If $a_{11} = 109$,then $a_{22}$ is equal to

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo