Matrices and Determinants

Section: Mathematics

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Question : 32 of 56

Marks: +1, -0

Let P=[

3	−1	−2
2	0	α
3	−5	0

].where α∊ R,Suppose Q=[qij] is a matrix such that PQ=kI,where k∊R,k≠0 and I is the identity matrix of order 3. If q23=−

k

8

and det(Q)=

k2

2

,then-

[JEE Adv 2016 P1]

α=0,k=8
4α−k+8=0
det(padj(Q))=20
det(Qadj(P))=2

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