Question: A mapping 7: R ? R is expressed by the transformation matrix below, A = 2 5 -3 7 (a) State the condition for an

A mapping 7: R² ? R² is expressed by the transformation

A mapping 7: R² ? R² is expressed by the transformation matrix below, A = 2 5 -3 7 (a) State the condition for an orthogonal transformation. Is T an orthogonal transformation ? Give your reason.(b) Find the image of the given vector below using the transformation matrix A.U = 5 -1

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