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

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

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

`[(a,0,0),(0,b,0),(0,0,c)]`

D

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

Text Solution

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The correct Answer is:
A
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