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If x,y,z are nonzero real number , then ...

If x,y,z are nonzero real number , then the inverse of matrix `A= {:[( x,0,0),( 0,y,0) ,( 0,0,z) ]:}` is

A

`A=[[x^-1,0,0],[0,y^-1,0],[0,0,z^-1]]`

B

`xyz[[x^-1,0,0],[0,y^-1,0],[0,0,z^-1]]`

C

`(1)/(xyz)[[x,0,0],[0,y,0],[0,0,z]]`

D

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

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A
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