In Problems 5–14 solve the given linear system.
5.
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- 51. Suppose that -1 -2 -i A and D = -5 Find X such that AX = D by %3D (a) solving the associated system of linear equations and (b) using the inverse of A.arrow_forward9. Deternine if S = (7 - 4x + 4x²,6 + 2x − 3x²,20 − 6x + 5x²) is linearly independent or dependentarrow_forward4. Use Gaussian elimination with backward substitution to solve the following linear system: 2x1 + x2 – x3 = 5, x1 + x2 – 3x3 = -9, -x1 + x2 + 2x3 = 9;arrow_forward
- In Problems 1–6, find the real solutions of each equation.arrow_forward[1 1 1] 024. The system of equations | 0 0 1x=| b, | is solvable if |0 0 1 b, (c) b, = b, (d) b, = 0 (e) none (a) h, = b, = 0 (b) b, = b, # 0 025. If A = B+C and B= B' and C' =-C, then %3D %3D (1) C = A– A" »C=÷(4- A') (6) C=;(4+A") (4) C = A+ A" (e) none c=-(4-A') (0) C = (A+ A°) («)C= A+ A°arrow_forward,solve x′= Ax by determining n linearly independent solutions of the form x(t)=eAtv.arrow_forward
- H.W:- Solve The linear SysTem O 1.7X-3.2y = 81 014x+112y = -2 2X+X2- X3=D9 8 X2+ 6X3=-6 -2 X1+4x2-6X3= Y0 %3D ®2x+3y+2-1/W = | 5x -2y+5z-4w=S X-Y+32-3w=3 3ペナ9yーチスナ2w=ー7arrow_forwardIn Problems 39–43, solve each system of equations. Į 2r + y + 3 = 0 x² + y? = 5 x + y? = 6y x = 3y S2xy + y? = 10 39. 40. 41. | 3y² – xy = 2 Ј Зx? + 4ху + 5у? 3D 8 42. x² - 3x + y² + y = -2 43. lx² + 3xy + 2y² = 0 + y + 1 = 0 yarrow_forward24. Solve the system. [x, y] = [- 9, – 1] + s[2,3] [x, y] = [- 8,2]+ t[2,1]arrow_forward
- 12)-7x+/y%3D-19 -2x+3y =-19arrow_forwardQ.1. Explain why the linear system has no solution: 1 0 3 1 0 1 2 4 0 0 0 For which values ofk does the system below have a solution? x-3y = 6 + 3z = -3 2x + ky + (3 – k)z = 1arrow_forward4. Use the Gauss-Siedel method to approximate the solution of the following system of linear equations. (Hint: you can stop iteration when you get very close results in three decimal places.) 5х1 — 2х2 + 3хз = -1 — 3х1 + 9х2 + хз — 2 2x1 – x2 – 7x3 = 3arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning