Home
Class 12
MATHS
If the square matrices A and B are such ...

If the square matrices A and B are such that `AB = A` and `BA = B`, then

A

A is an idempotent matrix but B is not

B

B is an idempotent matrix but A is not

C

A and B are both idempotent matrices

D

Neither A nor B are idempotent matrices

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - C) Objective Type Questions (More than one options are correct)|7 Videos
  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - D) Linked Comprehension Type Questions|3 Videos
  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|30 Videos
  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

Similar Questions

Explore conceptually related problems

If A and B are non-zero square matrices of same order such that AB=A and BA=B then prove that A^(2)=A and B^(2)=B

If A and B are square matrices of the same order such that AB=A and BA=B ,then (A^(2)+B^(2))=?

if A and B are square matrices of same order such that A = and B = B, where A denotes the conjugate transpose of A, then (AB-BA)* is equal to

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

If A and B are two square matrices such that AB=A and BA=B , then A^(2) equals

A and B are two non-singular square matrices of each 3xx3 such that AB = A and BA = B and |A+B| ne 0 then

If A and B are 3times3 matrices such that AB=A and BA=B, then

Let A and B be square matrices of same order satisfying AB =A and BA =B, then A^(2) B^(2) equals (O being zero matrices of the same order as B)

If a and B are square matrices of same order such that AB+BA=O , then prove that A^(3)-B^(3)=(A+B) (A^(2)-AB-B^(2)) .