Question: A mapping T : R- - R- is a linear transformation. The next two plots show a quadrilateral ABCD and its image under this transformation.

A mapping T : R- - R- is a linear transformation. The next two plots show a quadrilateral ABCD and its image under this transformation. 4 W W T(B) IT(A) A -4 -3 -1 3 -4 -3 - 3 -1- C T(D) -2 W N Quadrilateral ABCD The image of ABCD (a) Find the coefficients a1 , B1, a2, B2 such that (8) = as (3) + By (2 ); (9) = a2 (3) + 12 (2 ) a1 = 1/2 B1 = 0 1/4 B2 1/4 (b) Find a matrix P such that T(x) = Px. Syntax advice: Use the Maple syntax to enter your answer. To enter the matrix (2 2 ) . use | > , >. P = / &gt

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