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)
- Solve 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_forwardFind the inverses of the matrices in Exercises 1–4.arrow_forwardIn Exercises 5–8, determine if the columns of the matrix form a linearly independent set. Justify each answer.arrow_forward
- Use Cramer’s rule to compute the solutions of the systems in Exercises 1–6.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_forwardFind the general solutions of the systems whose augmented matrices are given in Exercises 7–14.arrow_forward
- In 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[M] In Exercises 37–40, determine if the columns of the matrix span R4.arrow_forwardWrite down the (1,2) minor of the matrix 1 -1 3 > -1 1 0 1 4 5arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning