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प्रश्न
Evaluate the determinant.
`|(0,1,2),(-1,0,-3),(-2,3,0)|`
उत्तर
|A| = `abs ((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 - (- 3) × 3][- 1 × 0 – (- 3) × (- 2)] + 2[3 × (-1) – (-2) × 0]
= 0 × 9 – 1[0 – 6] + 2[-3 – 0]
= 0 – 1 × (-6) + 2 × (-3)
= 6 – 6
= 0
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