Q29 of 46 Page 1

Using the properties of determinants, show the following:

Let


R1→ aR1 , R2→ bR2, R3→ cR3




C1→ C1 – C3 and C2→ C2– C3





R3→ R3 – ( R1 + R2))




C1→ C1 + C3 , C2→ C2 + C3





= 2ab (a+b+c)2 {(b+c)(c+a) – ab}


= 2abc (a+b+c)3


=RHS


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