In Exercises 21–23, use determinants to find out if the matrix is invertible.
22.
Learn your wayIncludes step-by-step video
Chapter 3 Solutions
Linear Algebra and Its Applications (5th Edition)
Additional Math Textbook Solutions
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
Intermediate Algebra (7th Edition)
Intermediate Algebra for College Students (7th Edition)
College Algebra with Modeling & Visualization (6th Edition)
College Algebra (7th Edition)
Graphical Approach To College Algebra
- In Exercises 27–32, evaluate the determinant of the given matrix by inspection.arrow_forwardCompute the determinants in Exercises 9–14 by cofactor expansions. At each step, choose a row or column that involves the least amount of computation.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
- Evaluate each determinant in Exercises 27–32. 27. 13 0 28. 4 3 2 2 1 1 -5 -1 4 2 -1 -3 5 29. 3 1 30. 2 -4 2 -3 4 -1 3. -5 4 1 1 2 3| 31. 2 2 32. -3 -3 4 -5 N 22N 3. लarrow_forwardFind the determinants in Exercises 5–10 by row reduction to echelon form. just number 7arrow_forwardCompute the determinants in Exercises 1–8 using a cofactor expansion across the first row. In Exercises 1–4, also compute the determinant by a cofactor expansion down the second column. just number 5arrow_forward
- Use Cramer’s rule to compute the solutions of the systems in Exercises 1–6.arrow_forwardEvaluate each determinant in Exercises 23-28. 3 0 23. 2 1 2 5 |4 24. 3 2 -3 0 0 -5 -1 4 -1 5 -4 2 0 5 0 4 3 25. -3 26. -1 -1 -5 3 1 1 1 1 2 3 27. 2 2 28. 2 2 -3 -3 4 -5 3 2 1 2. 14arrow_forwardCompute the determinants in Exercises 1–8 using a cofactor expansion across the first row. In Exercises 1–4, also compute the determinant by a cofactor expansion down the second column.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning