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Let = |(2a(1)b(1),a(1)b(2)+a(2)b(1),a(1)...

Let = `|(2a_(1)b_(1),a_(1)b_(2)+a_(2)b_(1),a_(1)b_(3)+a_(3)b_(1)),(a_(1)b_(2)+a_(2)b_(1),2a_(2)b_(2),a_(2)b_(3)+a_(3)b_(2)),(a_(1)b_(3)+a_(3)b_(1),a_(3)b_(2)+a_(2)b_(3),2a_(3)b_(3))|`
Express the determinant D as a product of two determinants. Hence or otherwise show that D = 0.

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