Combine the methods of row reduction and cofactor expansion to compute the determinants in Exercises 11–14.
12.
Learn your wayIncludes step-by-step video
Chapter 3 Solutions
Linear Algebra and Its Applications (5th Edition)
Additional Math Textbook Solutions
Intermediate Algebra (7th Edition)
College Algebra with Modeling & Visualization (6th Edition)
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
College Algebra
A Graphical Approach to College Algebra (6th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- Compute 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_forwardIn Exercises 27–32, evaluate the determinant of the given matrix by inspection.arrow_forwardFind the determinants in Exercises 5–10 by row reduction to echelon form.arrow_forward
- In Exercises 41–42, evaluate each determinant. 3 1 7 -1 14 -3 7 -5 |-2 1 5 41. 42. 19 -6 4 1 0 7 3 5| 4 -3 5 6.arrow_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_forwardIn Exercises 26–34, use properties of determinants toevaluate the given determinant by inspection. Explainyour reasoning Please show all workarrow_forward
- Classify the quadratic forms in Exercises 9–18. Then make a change of variable, x = Py, that transforms the quadratic form into one with no cross-product term. Write the new quadratic form. Construct P using the methods of Section 7.1. 11. 2x² + 10x1x2 + 2x3arrow_forwardEach equation in Exercises 1–4 illustrates a property of determinants. State the property.arrow_forwardIn Exercises 8–19, calculate the determinant of the given matrix. Use Theorem 3 to state whether the matrix is singular or nonsingulararrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning