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if [{:(3,2),(7,5):}]A{:[(-1,1),(-2,1):}]...

if `[{:(3,2),(7,5):}]A{:[(-1,1),(-2,1):}]={:[(2,-1),(0,4):}]` then trace of A is equal to

A

`-11`

B

`-21`

C

`-25`

D

`-15`

Text Solution

Verified by Experts

The correct Answer is:
B
`becausePAQ=B`
`AQ=P^(-1)B`
`A=P^(-1)BQ^(1)`
`[{:(-16,3),(24,-5):}]`
`thereforetr(A)=-21`
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