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For Exercises 21-26, perform the elementary row operations on
23.
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COLLEGE ALGEBRA AND TRIGONOMETRY
- Z4×Z6 has an element of order 24. true or false ?arrow_forwardWhy does the fact that the orders of the elements of A4 are 1, 2, and3 imply that |Z(A4)| = 1?arrow_forwardDetermine 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 + 8arrow_forward
- Suppose (x1,x2) + (Y1,Y2) is defined to be (x1 + Y2 ,x2 + Y1). With the usual multiplication cx = ( cx1, cx2 ), which of the eight conditions are not satisfied?arrow_forwardA =3 −2 10 0 08 1 1find a diagonalization of A.arrow_forwardHello, can you help me out with this problem? Please write a solution on a piece of paper and upload it here. Question: Let G1 = ℤ3 , G2 = ℤ4, and G3 = ℤ2 1. List all elements of G1⨁G2⨁G3 2. What is |(2,2,1)| in G1⨁G2⨁G3arrow_forward
- are you sure about your answer? cuz: an = 6an-1 - 9an-1, then a2 is: a2 = 6a1 - 9a0 = 6(12)-9(5) = 27. but when i use your formula for n = 2: a2 = (5-2)3(2)= 18, do you have an explination?arrow_forwardWhere does the c(x-1)^2... come from in part 2?arrow_forwardMaximize B=5xy^2, where x and y are positive numbers such that x+y^2=5.arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage