Question: Solve the following linear systems by using the LU factorization. a. {-2x + y = -1 4x - y = 5 b. {x + 4y

Solve the following linear systems by using the LU factorization. a.

Solve the following linear systems by using the LU factorization. a. {-2x + y = -1 4x - y = 5 b. {x + 4y - 3z = 0 -x - 3y + 5z = -3 2x + 8y - 5z = 1 c. {x - 2y + 3z + w = 5 x - y + 5z + 3w = 6 2x - 4y + 7z + 3w = 14 -x + y - 5z - 2w = -8 A = LU = [1 1 2 -1 0 1 0 -1 0 0 1 0 0 0 0 1] [1 0 0 0 -2 1 0 0 3 2 1 0 1 2 11] Solve the following linear systems by using the LU factorization. a. {-2x + y = -1 4x - y = 5 b. {x + 4y - 3z = 0 -x - 3y + 5z = -3 2x + 8y - 5z = 1 c. {x - 2y + 3z + w = 5 x - y + 5z + 3w = 6 2x - 4y + 7z + 3w = 14 -x + y - 5z - 2w = -8 A = LU = [1 1 2 -1 0 1 0 -1 0 0 1 0 0 0 0 1] [1 0 0 0 -2 1 0 0 3 2 1 0 1 2 11]

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