In Exercises 1–10, find the dimensions of the given matrix, and identify the given entry.
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Chapter 4 Solutions
Finite Mathematics
- [M] In Exercises 37–40, determine if the columns of the matrix span R4.arrow_forwardIn Exercises 13–18, perform each matrix row operation and write the new matrix. -6 4| 10 13. 1 5 -5 3 4 7 -12 6 9 40 3. 14. 1 -4 7|4 2 0 -1 |7 1 3 -3 15. 1 -3R, + R, -2 -1 -9- -9- 16. 3 3 -1 10 -3R + R2 1 3 5 1 -1 1 1 3. 1 -2 -1 17. 2 4| 11 -2R, + R3 5 1 6. -5R, + R4 1 -5 2 -2 4 -3 -1 18. 3 2 -1 -3R + R3 -4 4 2-3 4R, + R4 -len すす 2. 1. 2. 1. 3.arrow_forwardIn Exercises 11–16, compute the adjugate of the given matrix, and then use Theorem 8 to give the inverse of the matrix.arrow_forward
- Each equation in Exercises 1–4 illustrates a property of determinants. State the property.arrow_forwardIn Exercises 5–8, determine if the columns of the matrix form a linearly independent set. Justify each answer.arrow_forwardIn 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_forward
- Find the determinants in Exercises 5–10 by row reduction to echelon form. just number 7arrow_forwardIn Exercises 5–8, use the definition of to write the matrix equation as a vector equation, or vice versa.arrow_forwardIn Exercises 5–8, use the definition of Ax to write the matrix equation as a vector equation, or vice versa. 5. 5 1 8 4 -2 -7 3 −5 5 -1 3 -2 = -8 - [18] 16arrow_forward
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