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### W6

Course: MATH 26, Spring 2010
School: Irvine Valley College
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Word Count: 195

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26 Math Castroconde Chapter 6 1. 2. 3. Name: I.D.#: 4 3 1 3 4 , y = , z = 2 are mutually orthogonal and find a nonzero Show that x = 2 1 3 1 2 4 vector w in R 4 such that {x, y, z w} is an orthogonal set. 1 1 3 Let u = 1 , w = 1 , v = 1 . Let W = span{u, w}. 1 0 1 a. Show that {u, w} is an orthogonal basis for W. b. Find projW v . c. Find the distance from v to W. Let W be the...

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26 Math Castroconde Chapter 6 1. 2. 3. Name: I.D.#: 4 3 1 3 4 , y = , z = 2 are mutually orthogonal and find a nonzero Show that x = 2 1 3 1 2 4 vector w in R 4 such that {x, y, z w} is an orthogonal set. 1 1 3 Let u = 1 , w = 1 , v = 1 . Let W = span{u, w}. 1 0 1 a. Show that {u, w} is an orthogonal basis for W. b. Find projW v . c. Find the distance from v to W. Let W be the subspace of R 3 represented by the plane with equation x + y + z =0. 1 1 Show that B = 0 , 1 is a basis for W and use it to construct an orthonormal 1 0 basis W. 4. Find for the orthogonal complement W of the subspace W of question 3. 5. Assume A and B are n x n orthogonal matrices, and let k be any nonzero real number. Determine if the matrices kA, A + B, and AB are orthogonal by proving that each is or by providing a counter example if it is not. 6. 3 1 1 1 , u = 2 , w = 4 , and let W = {v, u, w}. Let v = 1 1 7 a. b. c. 7. Show that W is an orthogonal set. Using the elements of W, construct an orthogonal matrix A. Find A1 . 1 2 3 1 4 , b = 1 . Find a least-squares solution of Ax = b. Let A = 1 2 5
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Irvine Valley College - MATH - 26
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Irvine Valley College - MATH - 26
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University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
ME3281 Spring 2010 - Final ExamTuesday May 11th. 5:45-7:45pmRoom ME 102 (different room than regular classroom)The exam will cover everything learned in ME3281. Suggested Topics for Review:Power variables in Mechanical Translating, Mechanical Rotating
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
Feb 9 2010ME 3281 Spring 2010PROBLEM SET 54.20Wilson Santiago
University of Minnesota Crookston - ME - 3281
Feb 9 2010ME 3281 Spring 2010PROBLEM SET 6Wilson SantiagoFeb 9 2010ME 3281 Spring 2010Wilson SantiagoFeb 9 2010ME 3281 Spring 2010Wilson SantiagoFeb 9 2010ME 3281 Spring 2010Wilson Santiago
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
Mar22010me3281spring2010ProblemSet10Mar22010me3281spring2010Mar22010me3281spring2010
University of Minnesota Crookston - ME - 3281
7.24
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
s=tf('s');H1 = (s-1)/(s+1);subplot(321)bode(H1);grid onsubplot(322)pzmap(H1);grid onH2 = (s+1)*(s+1)/s/(s+5);subplot(323)bode(H2);grid onsubplot(324)pzmap(H2);grid onH3 = s/(s*s+.2*s+100)/(s*s+.2*s+100);subplot(325)bode(H3);grid onsubplot(32
University of Minnesota Crookston - ME - 3281
University of Minnesota Crookston - ME - 3281
March292010me3281spring2010WilsonSantiagoMarch292010me3281spring2010WilsonSantiago
University of Minnesota Crookston - ME - 3281