homework342_11

homework342_11 - Homeworks(Math 342 L Linear Algebra by S...

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Unformatted text preview: Homeworks (Math 342) L: Linear Algebra, by S. Leon (8th Edition) E: Diﬀerential Equations, by Edwards & Penney (4th Edition) Note: Detail your work to receive full credit Homework#1: (due Wed Sep 21) • Sec. 3.1 (L): 10, 13 (list axioms which fail to hold) • Sec. 3.3 (L): 2, 4, 6, 9, 13 • Sec. 3.5 (L): 5, 6 (in both problems, change to u1 = (1, 1, 1)T , u2 = (2, 2, 1)T , u3 = (4, 3, 2)T ) • Sec. 6.1 (L): 1(e), 5, 13, 16, 27 Homework#2: (due Wed Oct 5) • Sec. 6.3 (L): 2(b), 5, 6, 30(a)(c) • Sec. 4.1 (L): 3, 6, 9, 10 (change to L(xex ) and L( 1−1 )),16 −x • Sec. 6.2 (L): 1(b)(d), 2(a)(b) Homework#3: (due Wed Oct 19) • Sec. 5.4 (L): 7, 8, 9, 10, 11, 25 (use triangle inequality), 26 • Sec. 5.5 (L): 4, 8, 9 • Sec. 8.1 (E): 5, 8, 14 Homework#4: (due Wed Nov 2) • Sec. 8.2 (E): 3, 9, 20, and the additional problem: Find the recurrence relation and the ﬁrst three nonzero terms in the power series expansion about x = 0 for the solution to the following initial value problem: (x2 − x + 1)y − y − y = 0 , y (0) = 0 , y (0) = 1 • Sec. 7.1 (E): 7, 18, 19, 20, 22, 26, 31 Homework#5: (due Wed Nov 16) • Sec. 7.2 (E): 4, 7, 9, 28, 29 • Sec. 7.3 (E): 4, 9, 10 • Sec. 7.4 (E): 3, 10, 13, 17, 20, 26, 31, 32 Homework#6: (due Wed Nov 30) • Sec. 7.3 (E): 27 • Sec. 7.4 (E): 38 • Sec. 9.1 (E): 13, 19, 24 (ﬁnd the Fourier series only but simplify the expressions as much as possible), 30 ...
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