A and B arer two matrices of order 3 × ...

A and B arer two matrices of order 3 × 3 which satisfy AB = A and BA = B. then`(A+I)^(5)` is equal to (where I is identify matrix)___

A

I + 60A

B

I + 16A

C

I + 31A

D

none of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

A and B arer two matrices of order 3 × 3 which satisfy AB = A and BA =B then (A+B)^(7) is equal to___

If A and B are two square matrices of order 3xx3 which satify AB=A and BA=B , then (A+I)^(5) is equal to (where I is idensity matric)

A and B arer two matrices of order 3xx3 which satisfy AB = A and BA = B. Which of the following are true?

if A and B are two matrices of order 3xx3 so that AB=A and BA=B then (A+B)^7=

If A and B are square matrices of the same order such that AB = A and BA = B, then……

If A and B are two square matrices of order 3xx3 which satify AB=A and BA=B , then Which of the following is true ?

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

If A and B are symmetric matrices of the same order and X=AB+BA and Y=AB-BA , then (XY)^(T) is equal to

If A and B are two matrices such that AB = A and BA = B then B is equal to__

Let A , B are square matrices of same order satisfying AB=A and BA=B then (A^(2010)+B^(2010))^(2011) equals.