Home
Class 11
MATHS
Given example of two square matrices A a...

Given example of two square matrices A and B of the same order for which AB=O, but `BA ne O`.

Text Solution

Verified by Experts

The correct Answer is:
`A=[(1,0),(1,0)],B=[(0,0),(1,1)]`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.3 (Very Short Answer Questions)|9 Videos

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.3 (Short Answer Questions)|3 Videos

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.2 (Very short answer questions)|10 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

Suppose A and B are two square matrices of same order. If A, B are symmetric matrices, then AB - BA is

If A,b are two square matrices such that AB=A,BA=B then A,B are

If A and B are matrices such that AB = O then

If A and B are square matrices of the same order such that AB = BA, then prove by induction that AB^(n)=B^(n)A . Further, prove that (AB)^(n)=A^(n)B^(n) for all n in N .

If A and B are two symmetric matrices then AB + BA is

If A, B are square matrices of order 3,A is non-Signular and AB=0, then B is a

Give examples of two functions f:N to Z and g: Z to Z such that g o f is injective but g is not injective.

Give examples of two functions f : N to N and g : N to N such g o f is onto but f is not onto.