The matrix transformation j: /?! ...... /?2 defined by I(v) = Av. where A = [~ ~and k is

Chapter 1, Problem 5

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The matrix transformation j: /?! ...... /?2 defined by I(v) = Av. where A = [~ ~and k is a real number, is called dilation in the xdirectionif k > 1 and contraction in the x-directionif 0 < k < l. If R is the unit square and I is dilation inthe .I-direction with~' = 2. find and sketch the image ofR.

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