Question: (a) Represent each of the linear transformations in matrix form and find the composite transformation that expresses z 1 , z 2 in terms of

(a) Represent each of the linear transformations

Y = x + 2x Y2 = X X - and Z = 2y Z = y + y

in matrix form and find the composite transformation that expresses z1, z2 in terms of x1, x2.

(b) Represent each of the linear transformations

Y = x + 2x y = x + x3 and Y = 3x + x3 Z = y 2 = Y - 2 23 = + 2y + 3y3

in matrix form and find the composite transformation that expresses z1, z2, z3 in terms of x1, x2, x3.

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