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Answered: 3 The cofactor of the (2,3) – entry of|…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 46E

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Solve each of the following equations by finding [ a ]1 and using the result in Exercise 9. a.[ 4 ][ x ]=[ 5 ]in13b.[ 8 ][ x ]=[ 7 ]in11c.[ 7 ][ x ]=[ 11 ]in12d.[ 8 ][ x ]=[ 11 ]in15e.[ 9 ][ x ]=[ 14 ]in20f.[ 8 ][ x ]=[ 15 ]in27g.[ 6 ][ x ]=[ 5 ]in319h.[ 9 ][ x ]=[ 8 ]in242 Let [ a ] be an element of n that has a multiplicative inverse [ a ]1 in n. Prove that [ x ]=[ a ]1[ b ] is the unique solution in n to the equation [ a ][ x ]=[ b ].
31. Prove statement of Theorem : for all integers and .
Whenever possible, find a solution for each of the following equations in the given n. a.[ 4 ][ x ]=[ 2 ]in6b.[ 6 ][ x ]=[ 4 ]in12c.[ 6 ][ x ]=[ 4 ]in8d.[ 10 ][ x ]=[ 6 ]in12e.[ 8 ][ x ]=[ 6 ]in12f.[ 4 ][ x ]=[ 6 ]in8g.[ 8 ][ x ]=[ 4 ]in12h.[ 4 ][ x ]=[ 10 ]in14i.[ 10 ][ x ]=[ 4 ]in12i.[ 9 ][ x ]=[ 3 ]in12
Find the string that has this generating function: a) (1− x)−3b) (1+2x)−4c) 1/(1 −3x)3d) 1/(1+ x)2e)1/ (1− 2x)2
Determine which of the equations below could be the class equationgiven in the proof of Theorem 24.2. For each part, provide yourreasoning.a. 9 = 3 + 3 + 3b. 21 = 1 + 1 + 3 + 3 + 3 + 3 + 7c. 10 = 1 + 2 + 2 + 5d. 18 = 1 + 3 + 6 + 8
Prove Pb. 2.2.6 in the attached image
Find z1 and z2. use gauss elimination, not gauss jordan
Solve the following cauchy problem.
Suppose the conjugate z is equal to the reciprocal 1/ z. What are all possible z's?
If z1 = 3 + 2j , z2 = 4 − 8j, and z3= 2 + 5j find the conjugate of d) z3/z2
Explain why S is not a basis for P2.S = {−3 + 6x, 3x2, 1 − 2x − x2}
Under what conditions on A and B is (AB)-1 = A-1B-1? Prove your assertion

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