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# Linear Algebra and Differential Equations MATH 2250

Utah State University

GPA 3.66

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This 2 page Class Notes was uploaded by Benton Yundt on Wednesday October 28, 2015. The Class Notes belongs to MATH 2250 at Utah State University taught by Staff in Fall. Since its upload, it has received 8 views. For similar materials see /class/230424/math-2250-utah-state-university in Mathematics (M) at Utah State University.

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Date Created: 10/28/15

H D 00 4 Cf 03 H 00 H H H CO H 4 H CH H CT H H Find the imaginary part of z Find Re Solve Ax b where A Midterm review topics Prove parts a g of Theorem 011 p2 Convert z 1 239 into exponential form 13 2731 gum Find all solutions of 5 1 Find a monic polynomial with real coef cients of least degree such that 2 7 1 is a factor7 and r 2239 is a root Find a formula for A where A Prove that AS A 7 AT2 is antisymmetric 1 andb Prove that A BT AT ET 1 1 1 Verify that the matriXA 1 1 1 is singular 1 1 1 2 1 2 Find the inverse of 1 0 1 2 1 72 Suppose AX B Explain why B has a row of zeros if A does Prove that AT is singular if and only if A is singular Show that b2 B62 is the second column of B p29 Theorem 082 and Corollary 081 p36 Determinants of 4 gtlt 4 matrices H 00 2 O 2 H 2 D 23 2 4 25 2 CT 2 I 2 00 2 3 O Theorem 0104 p44 Find an integer k so that the following vectors are linearly dependent k 1 71 71 7 k 7 1 1 71 k Theorem 131 p66 Find the solution to the initial value problem 1 tu 07 u0 1 Show that 1ft and 7t24 are two solutions fo the initial value problem u 2tu 7u 07 u2 71 Use the method of variation of parameters to nd a solution of u 2u 4 Use separation of variables for the same problem Theorem 132 and Theorem 133 p73 Find an expression for a general solution of u 2u ft For constants p7 A7 and u nd a solution of u pu Aew Find the solution of u tant u 17 u7r2 0 Find solutions of tu t 7 u2 u by setting 1 t 7 u7 changing variables7 and then using separation of variables Find solutions of tt 2u uz Given a particular solution to a non homogeneous rst order di erential equation and a solution to the complementary equation7 how can you express general solutions

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