Question: This is Linear algebra. Provide clear and readable solution thank you. 1. Under a matrix transformation, M = [a b c d ], the points

This is Linear algebra. Provide clear and readable solution thank you.

1. Under a matrix transformation, M = [a b c d ], the points V and Ware mapped onto V' and W' such that: V(3, 5) 0 V (5, -3) W (7, 2) [ W' (2, -7) (i) Determine the values of a, b, c, and d. (ii) State the coordinates of Z such that Z(x, y)OV (5, 1) under the transformation M (iii) What matrix transformation represents M

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