The matrix transformation j: /?! ...,. /?! defined by lev) = Av. where A=[~ ~J. and k is

Chapter 1, Problem 4

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The matrix transformation j: /?! ...,. /?! defined by lev) = Av. where A=[~ ~J. and k is a real number. is called dilation if k > I and contraction if 0 < k < I. Thus. dilation stretches aveclor. whereas contraction shrinks it. If R is the rectangle defined in Exercise 2. find and sketch the image of /? for (a)k=4: (b) k= 1.

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