Let L be the linear transformation from R² R? given by L(x1, x2) = (2x1 - 3x2,4x1 + 4x2). (i) What is the matrix A of L? A = (ii) What is the determinant of L? Determinant = (iii) Is L shape preserving? (No answer given) + (iv) Does L preserve orientation? (No answer given) + (v) Is L injective? (No answer given) (vi) Is La clockwise rotation? (No answer given) + (vii) Is L an anti-clockwise rotation? (No answer given) + (viii) Compute the pre-image of the point (2,-1) under L.

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