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Question -

By using properties ofdeterminants, show that:



Answer -


Taking out commonfactors ab, and c from R1, R2, and Rrespectively,we have:

Applying R2 → R2 − RandR3 → R3 − R1, we have:

Applying C1 → aC1, C→ bC2, andC3 → cC3, we have:

Expanding along R3, we have:

Hence, the given resultis proved.

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