Answer :

Multiplying R1, R2, R3 by z, x, y Respectively



Take common z, x, y from C1, C2 and C3



C1C1 – C3 and C2 C2 – C3


Taking common x + y + z from C1 and C2



R3 R3 - (R1 + R2)



C1 zC1 and C2 xC3



C1 C1 + C3 and C2 C2 + C3



Taking z and x common from R1 and R2



Expansion along R3


= (x + y + z)2.(2xz((x + y)(z + y) - xz))


= (x + y + z)2.(2xz((xz + xy + yz + y2 - xz)


= (x + y + z)2.(2xz((xy + yz + y2)


= 2xyz(x + y + z)3


OR







A3 - 6A2 + 7A + KI3 = 0



K = 2


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