Q15 of 110 Page 260

Using properties of determinants prove that:



[C1’ = C1/x, C2’ = C2/y & C3’ = C3/z]


[C1’ = C1 - C2 & C2’ = C2 - C3]



[C1’ = C1/(x - y)& C2’ = C2/(y - z)]


= xyz(x - y)(y - z)(0 + 0 + y + z - x - y) [expansion by first row]


= xyz(x - y)(y - z)( z - x)


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