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The matrices P[(u(1),v(1),w(1)),(u(2),...

The matrices
`P[(u_(1),v_(1),w_(1)),(u_(2),v_(2),w_(2)),(u_(3),v_(3)w_(3))] and Q=(1)/(9)[(2,2,1),(12,-5,m),(-8,1,5)]`
are such that PQ=l, an identify matrix. Solving the equation `[(u_(1),v_(1),w_(1)),(u_(2),v_(2),w_(2)),(u_(3),v_(3),w_(3))][(x),(y),(z)]=[(1),(1),(5)]`, the value of y comes out to be -3, then the value of m is equal to

A

27

B

7

C

`-27`

D

`-7`

Text Solution

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The correct Answer is:
D
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