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Evaluate the determinant. |(0,1,2),(-1,0,-3),(-2,3,0)|

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Question

Evaluate the determinant.

`|(0,1,2),(-1,0,-3),(-2,3,0)|`

Evaluate
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Solution

`|(0,1,2),(-1,0,-3),(-2,3,0)|`

= `0|(0,-3),(3,0)| - 1|(-1,-3),(-2,0)| + 2|(-1,0),(-2,3)|`

= 0[0 × 0 − (−3) × 3] − 1[−1 × 0 – (−3) × (−2)] + 2[3 × (−1) – (−2) × 0]

= 0[0 + 9] − 1[0 − 6] + 2[−3 + 0]

= 0[9] – 1[−6] + 2[−3]

= 0 + 6 – 6

= 0

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Chapter 4: Determinants - Exercise 4.1 [Page 108]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.1 | Q 5.2 | Page 108
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