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प्रश्न
Answer the following question:
If f (α) = A = `[(cosalpha, -sinalpha, 0),(sinalpha, cosalpha, 0),(0, 0, 1)]`, Find f(–α) + f(α)
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उत्तर
f(–α) + f(α)
= `[(cosalpha, sinalpha, 0),(-sinalpha, cosalpha, 0),(0, 0, 1)] + [(cosalpha, -sinalpha, 0),(sinalpha, cosalpha, 0),(0, 0, 1)]`
= `[(cosalpha + cosalpha, sinalpha - sinalpha, 0 + 0),(-sinalpha + sinalpha, cosalpha + cosalpha, 0 + 0),(0 + 0, 0 + 0, 1 + 1)]`
= `[(2cosalpha, 0, 0),(0, 2cosalpha, 0),(0, 0, 2)]`.
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