Year 1980 1990 2000 Population y Here population is given in millions. 227 249 281 1. Fit a second degree polynomial passing through these points. 2. Use it to predict population in year 2010 and 2020. Note: Develop the linear system of equations from the above theory and solve the system by LU Decomposition Method.

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Q: o 4: (a): Solve the system by inverse method and verify your answer -11+ 4x1 – 3x2 + x3 = 0 -4x3 +…

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A: Given,              0.5x1-x2=-9.5                              ...(1)1.02x1-2x2=-18.8…

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Q: EXAMPLE 9 Solving a Homogeneous System of Linear Equations Solve the system of linear equations. x₁…

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Q: Some US census population data is given in the following table year 1980 1990 2000 population (y)…

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Q: -8x1+3x2-6x3+2x4 = -5 5x1+6x2+2x3-4x4 = -8 -3x1 +2x2-7x3+5x4 = 4 4x1 -5x2+3x3-6x4 = 9 %3! Solve the…

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Q: 5) Solve the system of linear equations by substitution. Sy = 4x – 45 ly = 3x – 7 O (26, 107) O (38,…

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Q: Determine all solutions to the first-order linear system x₁ = -x1 + x2 x2 = -2x1-3x2+x3 == x3 = x1 +…

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Q: 1. A linear system is described by the following equations: x1 + 6x2 + 2x3 = 10 3x1 + 2x2 + x3 = 6…

A: a)Consider the system of equations:The above system of equations can be converted into matrix form…

Q: An+1= - 4A, +3, A, = - 4 A3 =U (Simplify your answer.)

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Q: Use LU-decomposition method to find the solution of the linear system: +2x, +3x3 = 6, 2.x, + 7x, +…

A: Given AX = B where                A = 12327114-6X = x1x2x3B = 6131 Let A = LU, where          L =…

Q: Solve the following system of linear equations by graphing, y = -5x +65 y = 5x + 15 Solution: ( 0 y…

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Q: Find the LU factorization of A = and use it to solve the system 1 3 10 -16 A = -2 8: 1 12] -38 10…

A: The given matrix is; A=[1 -2 -2     -3 10 4     4 -16 -2]