Q. 334.4( 5 Votes )

Given an example of two matrices A and B such that

A ≠ O, B ≠ O, AB = O and BA ≠ O.

Answer :

Given : A ≠ 0,B ≠ 0 ,AB = 0, BA ≠ 0


To Find : matrix A and B


Formula used :



Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj


Let A = and B =


A ≠ 0,B ≠ 0


AB = = =


AB = = 0


BA = = =


BA =


A = and B =


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Triangular Matrices & operations on matrices58 mins
Types of Matrices & Properties51 mins
Determining a determinant63 mins
Determinants of Matrices of different order59 mins
Lecture on Product of Determinants58 mins
Know About finding the Adjoint & Inverse Of Matrix46 mins
Test Yourself, Properties of Determinants30 mins
Interactive Quiz on Matrices & Determinants48 mins
Interactive Quiz on Properties of Determinants43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses