Given the line L: and a linear transformation T:R R?. Let A denote the standard matrix of T and T(L) denote the image of the line L under the transformation T. a. Sketch the line L. 5. Sketch the line T(L) if A = - Describe the geometry of this trans- formation. e. Find a nonzero matrix A so that T(L) becomes a single point. 1. Find a matrix A so that T(2) becomes the line = +t 20 %3D 3 - Find a matrix A so that T(L) becomes the line 3 +t %3D E Find a matrix A so that T is a vertical shear and T(L) becomes a horizontal line. - Show that the line L can not be turned into a horizontal line using a hori- zontal shear.

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