Q1: Solve the system by inverting the coefficient matrix (X = A-b) 1- 2- 1- x...

  

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Q1: Solve the system by inverting the coefficient matrix (X = A-¹b) 1- 2- 1- x₁ + x₂ = 2 5x₁ + 6x₂ = 9 Q2) Determine conditions on the bi's, if any, in order to guarantee that the linear system is consistent. 6x₁ = 4x₂ =b₁ 3x1 2x₂ = b₂ Q3) Solve the matrix equation for X -1 2-1 5 4 0 -3 3 5-7 2 1- 3 2 Sec. 1.7 Q4) a) Find A¹, A2, A³ and A A= -6 01X b) Compute 1- -1 10 702 8 1 x₁ + 3x₂ + x) = 4 2x₁ + 2x₂ + x3 = -1 2x₁ + 3x₂ + xy = 3 I 2- x₁2x₂ + 5x₁=b₁ 4x₁ - 5x₂ + 8x3=b₂ -3x₁ + 3x₂-3x3 = by 2 A= -6 030 03 0 2- 1000 CT 0 0 5 Q1: Solve the system by inverting the coefficient matrix (X = A-¹b) 1- 2- 1- x₁ + x₂ = 2 5x₁ + 6x₂ = 9 Q2) Determine conditions on the bi's, if any, in order to guarantee that the linear system is consistent. 6x₁ = 4x₂ =b₁ 3x1 2x₂ = b₂ Q3) Solve the matrix equation for X -1 2-1 5 4 0 -3 3 5-7 2 1- 3 2 Sec. 1.7 Q4) a) Find A¹, A2, A³ and A A= -6 01X b) Compute 1- -1 10 702 8 1 x₁ + 3x₂ + x) = 4 2x₁ + 2x₂ + x3 = -1 2x₁ + 3x₂ + xy = 3 I 2- x₁2x₂ + 5x₁=b₁ 4x₁ - 5x₂ + 8x3=b₂ -3x₁ + 3x₂-3x3 = by 2 A= -6 030 03 0 2- 1000 CT 0 0 5

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ANSWER Q1 To solve the system of equations using matrix multiplication we can represent the coefficients and constants in matrix form A 1 2 0 1 3 1 2 ... View the full answer