A navigation system for fishing boats in Trinidad uses matrices to transform coordinates. If transformation matrix T = [[2, 0], [0, 3]] is applied to point P = [[4], [2]], what are the new coordinates?

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Question

A navigation system for fishing boats in Trinidad uses matrices to transform coordinates. If transformation matrix T = [[2, 0], [0, 3]] is applied to point P = [[4], [2]], what are the new coordinates?

Accepted Answer

[[8], [6]] — Award 1 mark for correct answer. Matrix multiplication: [[2, 0], [0, 3]] × [[4], [2]] = [[2×4 + 0×2], [0×4 + 3×2]] = [[8], [6]]. B is incorrect — addition error. C is incorrect — student divided instead of multiplied. D is incorrect — student only transformed first coordinate.

Answer

[[8], [2]]

Answer

[[8], [6]]

Answer

[[2], [1]]

Answer

[[6], [5]]

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