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The matrices P=[u1v1w1u2v2w2u3v3w3];Q=19[22113−5m−815] are such that PQ=I ,an identity matrix. solving the equation [u1v1w1u2v2w2u3v3w3][xyz]=[115] ,the value of y comes out to be −3 .then the value of m is equal to

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a

27

b

7

c

−27

d

−7

answer is D.

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Detailed Solution

PQ=I⇒P−1=Q now the system in matrix notation is PX=B⇒X=P-1B∴[xyz]=19[22113−5m−815][115]∴y=19(13−5+5m)⇒-27=8+5m∴m=−7

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