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MA121 Lecture 8: Proofs of Theorems

Canada

Introduction to Mathematical Proofs

Mathematics

Ping Zhang

Wilfrid Laurier University

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<picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/27/2796954.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/27/2796954.png" alt=""></picture> (Linear Algebra) <div id="et8" class="hidden">4(20pt). Let V be a vector space and T and S be in L(V, V), the set of all linear transformations frorn V to V. Define (ToS)(v)-T(S(v)) for any VE V. Show that ToS E LX, V) </div> Show transcribed image text 4(20pt). Let V be a vector space and T and S be in L(V, V), the set of all linear transformations frorn V to V. Define (ToS)(v)-T(S(v)) for any VE V. Show that ToS E LX, V)

Comparing Functions Winch of the following vector- valued functions represent the same graph?
(a) r(t)=(–3 cos t + l)i + (5 sin t + 2)j 4 + 4k
(b) r(t)=4i + (–3 cos t + l)j + (5 sin t + 2)k
(c) r(t)=(3 cos t– l)i + (–5 sin t –2)j + 4k
(d) r(t)=(–3 cos 2t + l)i + (5 sin 2t + 2)j + 4k

<div style="font-family:'Helvetica Neue', Helvetica, Arial;color:#333333;" align="left"> <picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/27/2796852.jpeg" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/27/2796852.jpeg" alt=""></picture> </div> <div id="bi1" class="hidden">5. Perform the indicated operations and simplify L(r) </div> Show transcribed image text 5. Perform the indicated operations and simplify L(r)

MA121 Lecture 8: Proofs of Theorems

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