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If A = [[x,0,0],0,y,0],[0,0,z]] is a no...

If `A = [[x,0,0],0,y,0],[0,0,z]]` is a non-singular matrix, then find `A^-1` by elementary row transformations. Hence, find the inverse of `[[2,0,0],[0,1,0],[0,0,-1]]`

A

`[(0,0,0),(0,1,0),(0,0,1)]`

B

`[(0,0,-1),(0,-1,0),(-1,0,0)]`

C

`[(-1,0,0),(0,-1,0),(1,0,-1)]`

D

`[(0,0,1),(0,1,0),(1,0,0)]`

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The correct Answer is:
D
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