Q. 195.0( 1 Vote )

Using properties of determinants, prove the following:

Answer :


Performing the operation C1 C1 – C3 and C2 C2 – C3, we get

Performing the operation C1 C1 – aC3,

Expanding along R1, we get

= ac – b (-c – a – ac)

= ac + bc + ba + bac

= ab + bc + ca + abc


Hence proved.

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