In Exercises 5–14, the matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists.
10.
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College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- In Exercises 19–20, solve the matrix equation for X. 1 -1 1 -1 5 7 8. 19. 2 3 0| X = 4 -3 1 1 3 5 -7 2 1 -arrow_forward2. Solve for x in the given matrix equalitiesarrow_forwardIn Exercises 7–10, the augmented matrix of a linear system has been reduced by row operations to the form shown. In each case, continue the appropriate row operations and describe the solution set of the original system. 1 7 3 -4 1 -4 1 -1 3 7. 8. 1 7 1 1 -2 0 -4 0 -7 1 -1 1 -3 9. 1 -3 -1 4arrow_forward
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- 5. By using the matrix methods to solve the following linear system: I1 + 12 – 13 = 5, 3r1 +x2 – 2r3 = -4, -I1 + 12 - 2r3 = 3;arrow_forwardSolve the following linear equations using the 5 methods: (Gaussian Elimination, Gauss-Jordan Elimination, LU Factorization, Inverse Matrix and Cramer's Rule). Show your complete solutions. b. 2x1 — 6х, — Хз 3D — 38 -3x1 – x2 + 7x3 = -34 -8x1 + x2 – 2x3 = -20arrow_forward2 5 31 5. Write X =|-3 6 0 as the sum of a skew symmetric and a symmetric 4 1 1] matrix.arrow_forward
- In Exercises 1–4, determine if the system has a nontrivial solution. Try to use as few row operations as possible.arrow_forwardIn Exercises and 11, use matrices to solve the system of equations, if possible. 11. [2x + 3y + Z 10 2x - 3y - 3z = 22 (4x2y + 3z = -2arrow_forward3. Let A be a 4 × 4 matrix. Suppose the matrix equation A = has solution set 1 what is the solution set of A = 0? 2.arrow_forward
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