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If A=[{:(3,1),(-1,2):}], show that A^(2)...

If `A=[{:(3,1),(-1,2):}]`, show that `A^(2)-5A+7I=O`. Hence, find `A^(-1)`.

A

`(1)/(7) [ {:(2, -1),(1,3):}]`

B

`[ {:(-2, 1),(-1,-3):}]`

C

`1/7[ {:(2, -1),(1,3):}]`

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
C
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