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A transformation `T_1` maps the triangle ABC whose coordinates are A (-2, 0), B (1, -2), C (0, 1) onto triangle ABC whose coordinates are A’ (, ), B’ (, 1) and C’ (1, ) Another transformation `T2` maps the same triangle ABC onto triangle A''B''C'' whose coordinates are A'' (4,2 ), B'' (1,4 ), C (2, 1).
a). On the same axes, plot triangle ABC, A’B’C’ and ABC
b) Determine i. `T_1` ii. `T_2` iii. The matrix of T such that TT1=T2