Question

Do you want to restart to instal updates now or try tonight? Problem 1. For each of the following linear transformations, draw two linearly independent eigenvectors (i.e., one eigen- vector should not be a scalar multiple of the other). Mark the angle between your vector and the nearest axis or dashed line (when the angle is nonzero). Example) The transformation which mirrors vectors over the line making a 20° angle with the horizontal axis 200 200 a) The transformation which rotates vectors by 180°. b) The transformation which exchanges a vector's horizontal and vertical components. That is, if 2 = (x1, x2)T, then f(f) = (x2,x1)T c) The transformation which projects vectors onto the horizontal axis (i.e., "forgets" their vertical com- ponent), then mirrors the result over the line making a 20° angle with the horizontal axis. 200

Answer 1

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