Answer Happy

40-0 - 4K-D In Problems 25-30, solve for x, and x 23. 25. 26. 27. 28. 29. 30. + = +- 14-90+0-14 430-8-8 G0-0-0 20-0-0 - 24. BIn Problems 31-38, write each system as a matrix equation and solve using inverses. [Note: The inverses were found in Problems 41-48, Exercises 4.5.] 31. X₁ + 2xy = k₁ (A) k₁=1, kg = 3 (B) k₁= 3, k₂ = 5 (C) k₁= -2, k₂= 1 32. 2x₁ + x₂ = k₁ 5x + 3xy=k₂ (A) k₁= 2, k₂13 (B) k₁ = 2, k₂ = 4 (C) k₁=1, k, = -3 37. x₁ + x₂ 2x₁ + 3x₂x₂= ky + 2xy = ks X1 (A) k₁= 2, k = 0, ky = 4 (B) k, = 0, k4, ky = -2 (C) k₁4, k₂2, k₂0 - x₁ = k₁ 2x₁-32 = k₂ x₁ + x₂ - 2xy = ky (A) k, 4, ky 8, k, = 0 (B) k₁4, k0, ky = -4 (C) k₁0, k-8, ky = -8 38. x₁ In Problems 39-44, the matrix equation is not solved correctly. Explain the mistake and find the correct solution. Assume that the indicated inverses exist. B 39. AX B. X== A 41. XAB, X= A'B 43. AXBA, XABA, X = B 44. XA = AB, X = AB A¹, X = B 40. XA-B.X= A 42. AX= B, X = BA In Problems 45-50, explain why the system cannot be solved by matrix inverse methods. Discuss methods that could be used and than value the stays.