The matrix transformation I: /2 ...... /2 defined by I(v) = Al. where A = [~ ~] and k is

Chapter 1, Problem 5

(choose chapter or problem)

The matrix transformation I: /?2 ...... /?2 defined by I(v) = Al. where A = [~ ~] and k is a real number. is called dilation in the y. direction if k > 1 and contraction in the y.direction if 0 < k < I. If /? is the unit square and I is the contraction in the y-direction with k = ~. find and sketch the image o f R .

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