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Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], ...

Let `p=[(3,-1,-2),(2,0,alpha),(3,-5,0)],` where `alpha in RR.` Suppose `Q=[q_(ij)]` is a matrix such that `PQ=kl,` where `k in RR, k != 0 and l` is the identity matrix of order 3. If `q_23=-k/8 and det(Q)=k^2/2,` then

A

`alpha=0`, k=8

B

`4alpha-k+8=0`

C

det(Padj(Q))=`2^(9)`

D

det(Qadj(P))=`2^(13)`

Text Solution

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The correct Answer is:
B, C
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