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In problem 15–18 use the method of Example 2 to compute eAt for the coefficient matrix. Use (1) to find the general solution of the given system.
15.
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Chapter 8 Solutions
Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's ... Problems, 9th Edition, Single-Term
- 31 32 = 1 + 3x2 1 + 2x3 + 324 Y3 3x2 + x3 Write the matrix A such that y = Ax |arrow_forward1.3.5 Write f= x + 10x,x2 + x as a difference of squares, and f= xí+ 10x1x2 + 30x as a sum of squares. What symmetric matrices correspond to these quadratic forms by f = x' Ax?arrow_forwardThe matrix that projects onto the line y = -x is X 0.6 0.8 0.8 -0.6arrow_forward
- Help me pleasearrow_forward3. Q1: Given A = -1 4 3 3. find the matrix X if 2xT-AB = -2 B = 1 -3arrow_forward7. Let A be a matrix with a row consisting of all zeroes. If B is a matrix such that AB is defined, which of the following is always true? 8. Given the matrix B = 1 1 11 Which of the following (233) (a) 3 2 3 332 matrices solves X in the matrix equation X+13= 2(X - B)? (211) (d) 1 2 1 112 (322) (b) 2 3 2 2 2 3 (122) (c) 2 1 2 2 2 1arrow_forward
- 8. Solve the given (matrix) linear system: X' = ; *+(*) (3cos(t) 14 2 2etarrow_forwardUse Use the following set of equations to solve questions (7, 8, :9, 10, 11, 12) based on Gauss Elimination direct method 2.x1 + x2 – x3 = 2 (1) 3.x1 - 2x2 + r3 = 1 (2) x1 – 2x2 + 2x3 = -1 (3) The value of row 2 (R2) in the augmented matrix (A| b) after :zeroing elements (a21, a31) is [4/3-,5/3,4/3-,0] [4/3,5/3-,7/3,0] None [4/3,5/3-,4/3-,0]arrow_forwardQuestion 44 Select the matrix corresponding to the quadratic form Q (21, 12, 13, 24) = -2xf + 5x – 7a - 42 – 621 22 + 4æzx1 -2x? + 52 – 7a –- 4.r – 62122 + 4x3 rı – 1021 E4 -2 5 -7 -4 2 3 4 -10 -7 -4 -6 2 -3 -5 -2 -6 4 -10 5 -7 -4 -3 -5 -3 -7 -5 -4 -2 4 -10 -6 5 4 -7 10 0 0 -4 2. 2.arrow_forward
- HELP WITH 18 AND 19 In each of Problems 12–23, find AR and produce a matrix 2r such that QRA = AR. -1 4 2 3 -5 7 1 18. A = 1 -3 4 4 19. A = 0 0 0arrow_forward2.2. Consider the following matrix Y and matrix Z. Each column represents a particular meat industry. industry for beef, pork and chicken: [0.2 0.3 0.21 Y= 0.4 0.1 0.3 [0.3 0.5 0.2] [150] Z= 200 [210] For industries for beef, pork and chicken determine the total demand given by matrix Y and matrix Zarrow_forwardSection 2.2 2.1. Solve the following difference equations: (a) Yk+1+Yk = 2+ k, (b) Yk+1 – 2Yk k3, (c) Yk+1 – 3 (d) Yk+1 – Yk = 1/k(k+ 1), (e) Yk+1+ Yk = 1/k(k+ 1), (f) (k + 2)yk+1 – (k+1)yk = 5+ 2* – k2, (g) Yk+1+ Yk = k +2 · 3k, (h) Yk+1 Yk 0, Yk = ke*, (i) Yk+1 Bak? Yk (j) Yk+1 ayk = cos(bk), (k) Yk+1 + Yk = (-1)k, (1) - * = k. Yk+1 k+1arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
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