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By using properties of determinants, show that:

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Learn Exercise 4.2

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Applying R2 → R2 − R1 and R3 → R3 − R1, we have: Applying R3 → R3 + R2, we have: Expanding along R3, we have: Hence, the given result is proved.
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Applying R2 → R2 − Rand R3 → R3 − R1, we have:

Applying R3 → R3 + R2, we have:

Expanding along R3, we have:

Hence, the given result is proved.

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Related Questions

Choose the correct answer.

Let A be a square matrix of order 3 × 3, then is equal to

A. B. C. D.  

Answer: C A is a square matrix of order 3 × 3. Hence, the correct answer is C.
Chinmayee

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