P=[{:(1,1,1),(0,2,2),(0,0,3):}]Q=[{:(2,x...

`P=[{:(1,1,1),(0,2,2),(0,0,3):}]Q=[{:(2,x,x),(0,4,0),(x,x,6):}]` and `R=PQP^(-1)` then which are correct

A

For x=0, if `R[(1),(a),(b)]=6[(1),(a),(b)]` , then a+b=5

B

det R=det`[(2,x,x),(0,4,0),(x,x,5)]+8` , for all `x in square`

C

For x=1, there exists a unit vector `alphahati+betahati+gammahatk` for which `R[(alpha),(beta),(gamma)]=[(0),(0),(0)]`

D

There exists a real number x such that PQ=QP

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The correct Answer is:

A, B

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