SOLUTION: 3𝑥 − 5𝑦 + 2𝑧 = 2 2𝑥 − 𝑦 + 3𝑧 = 3 𝑥 + 4𝑦 + 7𝑧 = 4 (a) Write the augmented matrix for the above system. (b) F

Question 1144141: 3𝑥 − 5𝑦 + 2𝑧 = 2
2𝑥 − 𝑦 + 3𝑧 = 3
𝑥 + 4𝑦 + 7𝑧 = 4
(a) Write the augmented matrix for the above system. (b) Find the inverse of the coefficient matrix. (c) Find the determinant of the coefficient matrix. (d) Find the LU-factorization of the coefficient matrix. (e) Solve the above system using Gauss-Jordan elimination. (f) Use the inverse of the coefficient matrix from part (b) to solve the above system. (g) Solve the above system using the lower and upper triangular matrices found in part (d). (h) Solve the above system using Cramer’s rule.
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
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