Question: (4) 5. Let T : R2 - R2 be a horizontal shear ( standard matrix A = (a) What should k be so that (1,

(4) 5. Let T : R2 - R2 be a horizontal shear (
(4) 5. Let T : R2 - R2 be a horizontal shear ( standard matrix A = (a) What should k be so that (1, 1) is mapped into (-3, 1)? (b) What should k be so that T maps the line x = _+tint into a vertical line? (3) 6. Suppose that u and v are vectors in R' and T is a linear transformation such that T(u) = (-1,2, -3,5) and T(v) = (-4, 1, -1, -3). Find the following

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