If {:A=[(1,2,x),(0,1,0),(0,0,1)]andB=[(1...

If `{:A=[(1,2,x),(0,1,0),(0,0,1)]andB=[(1,-2,y),(0,1,0),(0,0,1)]:}` and `AB=I_3` , then `x + y` equals

A

0

B

`-1`

C

2

D

None of these

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Let A={:[(1,2,3),(0,1,0)]:}andB={:[(-1,4,3),(1,0,0)]:} Find 2A +3B.

If A[(1, 0, 0),(x, 1, 0),(x, x, 1)] and I=[(1, 0, 0),(0,1,0),(0,0,1)] , then A^(3)-3A^(2)+3A is equal to

Let I=((1,0,0),(0,1,0),(0,0,1)) and P=((1,0,0),(0,-1,0),(0,0,-2)) . Then the matrix p^3+2P^2 is equal to

Let I = [{:(1, 0, 0),(0 ,1, 0),(0,0,1):}] and P = [{:(1, 0, 0),(0 ,-1, 0),(0,0,-2):}] . Then the matrix p^(3) + 2P^(2) is equal to

If A={:[(0,-1),(1,0)]:}andB={:[(-1,0),(3,2)]:} , then AB^(2) =

If [(1,0,0 ), (0,-1,0), (0,0, -1)][(x),(y),( z)]=[(1),(0),(1)] , find x ,\ y\ a n d\ z .

If [{:(,x-y,1,z),(,2x-y,0,w):}]=[{:(,-1,1,4),(,0,0,5):}], "find x,y,z,w"

If [(1,2,-3),(0,4,5),(0,0,1)][(x),(y),(z)]=[(1),(1),(1)] , then (x, y, z) is equal to