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6. Determinants
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Q7 of 256 Page 6

Evaluate :


Expanding along the second row



⇒ |A| = sinβ (cosα×cosα sinβ + sinα × sinα sinβ) + cosβ (cosα cosβ × cosα + sinα×sinα cosβ) – 0


|A| = sin2 β (cos2α + sin2α) + cos2β (cos2α + sin2α)


|A| = sin2 β (1) + cos2β (1)


|A| = sin2 β + cos2β


|A| = 1


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Questions · 256
6. Determinants
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