If A = [(2,-1),(-1,2)] and I is the unit...

If A = `[(2,-1),(-1,2)]` and I is the unit matrix of order 2 then `A^(2) ` equals

A

`4A-3I`

B

`3A-AI`

C

`A-I`

D

`A+I`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If A=[(2,-1),(-1,2)] and l is the unit matrix of order 2, then A^(2) equals to

If A=[(2,-1),(-1,2)] and i is the unit matrix of order 2, then A^2 is equal to (A) 4A-3I (B) 3A-4I (C) A-I (D) A+I

If A= [[1,2],[-3,-4]] and l is the identity matrix of order 2 then A^(2) equals "

If A=[(1, 0,0),(0,1,0),(a,b,-1)] and I is the unit matrix of order 3, then A^(2)+2A^(4)+4A^(6) is equal to

If A=[[2,-1-1,2]] and I is the identity matrix of order 2, then show that A^(2)=4a-3I Hence find A^(-1).

" .If "A=[[1,2],[-3,-4]]" and "l" is the identity matrix of order "2," then "A^(2)" equals "

If {:A=[(0,1),(1,0)]:} ,I is the unit matrix of order 2 and a, b are arbitray constants, then (aI +bA)^2 is equal to

If is A is a matrix of order 3xx3 , then (A^(2))^(-1) is equal to…………….

If A=[(3,-4),(-1,2)] and B is a square matrix of order 2 such that AB=I then B=?