Q13 of 29 Page 1

Using properties of determinants, prove that = 9(3xyz + xy + yz + zx).

LHS =


=

Taking 3 common from C1 and C3, we get,

=


Solving the determinant we get,

= 9 [ – 1(yz – 0) + x(y + 3zy + z)]


= 9(yz + xy + 3xyz + xz)


9(3xyz + xy + yz + xz) = RHS


∵ LHS = RHS


Hence Proved.

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