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A triangle T whose vertices are A (2, 3), B (5, 3) and C (4, 1) is mapped onto triangle #T_1# whose vertices are #A_1# (4, 3), #B_1# (-1, 3) and #C_1# (x, y) by a transformation M = #((a,b),(c,d))#.
a) Find the: (i) Matrix M of the transformation. (ii) Coordinates of C1.
b) Triangle T2 is the image of triangle T1 under the reflection in the line y = x. find a single matrix that maps T onto T2.