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Let M=[{:(0,,1,,a),(1,,2,,3),(3,,b,,1):}...

Let `M=[{:(0,,1,,a),(1,,2,,3),(3,,b,,1):}]`and adj `M =[{:(-1,,1,,-1),(8,,-6,,2),(-5,,3,,-1):}]`
where a and b are real numbers. Which of the following options is/are correct ?

A

If `M[(alpha),(beta),(gamma)]=[(1),(2),(3)]` , then `alpha-beta+gamma=3`

B

`(adjM)^(-1) + adjM^(-1)=-M`

C

a+b=3

D

`det(adjM^2)=81`

Text Solution

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The correct Answer is:
A, B, C
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