Solved: Given the two 4 4 linear systems having the same coefficient matrix: x1 x2 + 2x3
Chapter 6, Problem 7(choose chapter or problem)
Given the two 4 4 linear systems having the same coefficient matrix: x1 x2 + 2x3 x4 = 6, x1 x2 + 2x3 x4 = 1, x1 x3 + x4 = 4, x1 x3 + x4 = 1, 2x1 + x2 + 3x3 4x4 = 2, 2x1 + x2 + 3x3 4x4 = 2, x2 + x3 x4 = 5; x2 + x3 x4 = 1. a. Solve the linear systems by applying Gaussian elimination to the augmented matrix 1 1 2 1 . . . . . . . . . . 6 1 1 0 11 41 213 4 2 2 0 1 1 1 5 1 b. Solve the linear systems by finding and multiplying by the inverse of 1 1 2 1 1 0 1 1 213 4 0 1 1 1 . c. Which method requires more operations?
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