Q17 of 45 Page 1

Using properties of determinants, prove the following:

Given:


Performing the operations R2→ R2 – 2R1 and R3→ R3 – 3R3, we get



Expanding along C1, we get


= 1 [3p – 2 – 3(-1 + p)]


= -2 + 3p + 3 – 3p


= 1 = RHS


Hence proved.


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