Question

Use an algorithm that you would systematically follow to apply the technique and solve each set of systems of linear equations.

For example, you may select the technique of finding the inverse of the coefficient matrix A, and then applying Theorem 1.6.2: x = A^-1 b. There are several ways that we have learned to find A^-1. Pick one of those ways to code or write as an algorithm.

Or another example, you may select Cramer’s rule. Within Cramer’s rule, there are several techniques that we learned to find the determinant of a matrix. Pick one of those ways to write as an algorithm. Write up where you show how you followed the algorithm step by step to solve each set of systems of linear equations.

Pick a technique that we have learned to solve the following two sets of linear equations:

x1 + 3x2 + X3-4 2X1 + 2X2 + X3 =-1 2X1 + 3X2 + X3 = 3 and 4X1 + X2 + X3 + X4= 6 3x1 +7x2-X3 + X4 = 1 7x1 + 3x2 - 5x3 + 8x4 --3 X1 +X2 x3 + 2x4-3

Answer 1

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