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If a,b,c are non-zero real numbers, then...

If a,b,c are non-zero real numbers, then the inverse of the matrix `A=[{:(a,0,0),(0,b,0),(0,0,c):}]` is equal to :

A

`[(a^(-1),0,0),(0,b^(-1),0),(0,0,c^(-1))]`

B

`abc[(a^(-1),0,0),(0,b^(-1),0),(0,0,c^(-1))]`

C

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

D

`1/(abc)[(a,0,0),(0,b,0),(0,0,c)]`

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