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If P=[(1,alpha,3),(1,3,3),(2,4,4)] is th...

If `P=[(1,alpha,3),(1,3,3),(2,4,4)]` is the adjoint of a `3xx3` matrix A and det. `(A)=4`, then the value of alpha is ______ .

A

4

B

11

C

5

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Given P is adjoint of A.
`:. |P|=|A|^(2)`
`:. |(1,alpha,3),(1,3,3),(2,4,4)|=|A|^(2)=4^(2)` (Given)
`:. 2alpha-6=16`
`:. alpha=11`
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