Answer:
Cofactor
of element yz = A13
=
(?1)1+3
Cofactor
of element zx = A23
Cofactor
of element xy = A33
As
we know that
sum of
the product of elements of any row (or column) with their corresponding
cofactors
yz (z ? y)
+ zx (x ? z) + xy (y ? x)
=
yz2 ? zy2 + zx2 ? xz2 + xy2
? yx2
=
xyz ? zx2 + xz2 ? xz2 ? zy2 + xy2
+ yz2 ? xyz
=
x(yz ? xy ? z2 + zx) ? y (yz ? xy ? z2 + zx)
=
(x ? y) (yz ? xy ?z2 + zx)
=
(x ? y) (y (z ? x) ? z(z ? x))
=
(x ? y) (y ? z) (z ? x)
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