For each of linear transformation T given below, do the following: (i) finc of T, (ii) find each eigenspace of T and its basis, (iii) determine the geometric multiplicities of each eigenvalue of T, (iv) determine if T is c (a) T: R² R2 defined by T(a, b) = (-2a + 3b, -10a +9b). (b) T: P₁ → P₁ defined by T(ax + b) = (-6a + 2b)x+ (-6a + b).

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