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If every element of a sqare non-singualr...

If every element of a sqare non-singualr matrix A is multiplied by k and the new matrix is denote by B, then `|A^(-1)|=k|B^(-1)|` are related is

A

`|A^(-1)|=k|B^(-1)|`

B

`|A^(-1)|=k^(-1)|B^(-1)|`

C

`|A^(-1)=k^(n)|B^(-1)|`

D

`|A^(-1)|=k^(-n)|B&^(-1)|`

Text Solution

Verified by Experts

The correct Answer is:
C
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