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Question
Answer the following question:
If f(α) = A = `[(cosalpha, -sinalpha, 0),(sinalpha, cosalpha, 0),(0, 0, 1)]`, Find f(– α)
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Solution
f(α) = A = `[(cosalpha, -sinalpha, 0),(sinalpha, cosalpha, 0),(0, 0, 1)]`
∴ f(– α) = `[(cos(-alpha), -sin(-alpha), 0),(sin(-alpha), cos(-alpha), 0),(0, 0, 1)]`
∴ f(– α) = `[(cosalpha, sinalpha, 0),(-sinalpha, cosalpha, 0),(0, 0, 1)]`
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