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In Exercises 13–18, use an inverse matrix to solve the system of linear equations.
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Finite Mathematics & Its Applications (12th Edition)
- Find the inverses of the matrices in Exercises 1–4.arrow_forwardSolve each system in Exercises 1–4 by using elementary rowoperations on the equations or on the augmented matrix. Followthe systematic elimination procedure described in this section.. x1 + 5x2 =7 - 2x1- 7x2 = -5arrow_forwardUse Cramer’s rule to compute the solutions of the systems in Exercises 1–6.arrow_forward
- In Exercises 5–8, determine if the columns of the matrix form a linearly independent set. Justify each answer.arrow_forwardIn Exercises 29–32, find the elementary row operation that trans- forms the first matrix into the second, and then find the reverse row operation that transforms the second matrix into the first.arrow_forwardIn Exercises 15–16, solve each system using matrices. 15. (2x + y = 6 13x – 2y = 16 x - 4y + 4z = -1 2х — у + 52 16. -x + 3y - z =arrow_forward
- In 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_forwardGive an example of a example of a 3x5 matrix in BREF where RX=0 has unique solution.arrow_forwardFind a non-zero 2 × 2 matrix such that -5 -1 0 0 25 ||arrow_forward
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