4. For each one of the following systems of linear equations: I) II) III) 20 30...

 

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4. For each one of the following systems of linear equations: I) II) III) 20 30 10 = x1 + 10x3 = = 8x1 + 3x2 12x2 + 6x3 2x1 + x2 + 5x3 = 1 2x1 + 2x2+2x3 4x1+x2= 2 1 = x1 + x2 x3 = -3 6x1 + 2x2+2x3 = 2 -3x1 +4x2+23 = 1 (a) Use Gaussian Elimination (2.0) with backward substitution to find the solution. Show the resulting matrices after each one of the matrix row operations. (b) Use Cramer's Rule to solve them. Compute the determinants using minors. 4. For each one of the following systems of linear equations: I) II) III) 20 30 10 = x1 + 10x3 = = 8x1 + 3x2 12x2 + 6x3 2x1 + x2 + 5x3 = 1 2x1 + 2x2+2x3 4x1+x2= 2 1 = x1 + x2 x3 = -3 6x1 + 2x2+2x3 = 2 -3x1 +4x2+23 = 1 (a) Use Gaussian Elimination (2.0) with backward substitution to find the solution. Show the resulting matrices after each one of the matrix row operations. (b) Use Cramer's Rule to solve them. Compute the determinants using minors.

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To solve these systems of linear equations well start by writing them in matrix form and then appl... View the full answer