Given: Performing the operations R2→ R2 – 2R1 and R3→ R3 – 3R3, we getExpanding along C1, we get= 1 [3p – 2 – 3(-1 + p)]= -2 + 3p + 3 – 3p= 1 = RHSHence proved.

Q. 175.0( 2 Votes )

Using properties

Class 12th Mathematics - Board Papers All India-2009

Answer :

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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