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

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प्रश्न

Evaluate the determinant.

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

मूल्यांकन
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उत्तर

`|(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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पाठ 4: Determinants - Exercise 4.1 [पृष्ठ १०८]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 4 Determinants
Exercise 4.1 | Q 5.2 | पृष्ठ १०८

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