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Question -

Using the property ofdeterminants and without expanding, prove that:



Answer -


Applying R2 → R2 − R3, we have:

Applying R1 ↔R3 and R2 ↔R3, we have:

Applying R→ R1 − R3, we have:

Applying R1 ↔R2 and R2 ↔R3, we have:

From (1), (2), and (3),we have:

Hence, the given resultis proved.

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