# a3 - Math 136 Section 3-2 Exercises B1. B3. a), b) B4. b),...

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Math 136 Assignment 3 Due: Wednesday, Jan 28th Section 3-2 Exercises B1. B3. a), b) B4. b), c) B5. Additional Problems E1. Let R θ ( x 1 , x 2 ) = ( x 1 cos θ - x 2 sin θ, x 1 sin θ + x 2 cos θ ). Prove that R θ is linear and ﬁnd the standard matrix of the mapping. MATLAB question is on the next page.

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Use MATLAB to complete the following question. Use the diary feature to record your work. Record your written answer to part (b) in your diary ﬁle as well. When ﬁnished, print out your diary ﬁle and submit it with the rest of your assignment. You do not need to submit your ﬁgure ( .fig ) ﬁles. MATLAB Animation Animation is “the rapid display of a sequence of images. ..in order to create an illusion of movement” (http://en.wikipedia.org/wiki/Animation). Images that are represented as vector graphics (a collection of points, lines, curves, etc.) can be animated by applying linear transformations. When linear transformations are represented as matrices, they can be easily applied, composed, or inverted and allow us to use the power of
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## a3 - Math 136 Section 3-2 Exercises B1. B3. a), b) B4. b),...

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