Q20 of 45 Page 1

Using properties of determinants, prove the following:

Given,

Taking xyz as common from C1C2C3 , then



Applying C1→ C1 - C2 , C2→C2 - C3, then,



Taking (x - y)(y - z) as common from C1 and C2



Now, Expand along R1 , then



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


Hence, Proved


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