Find the determinants in Exercises 5–10 by row reduction to echelon form.
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- Find the determinants in Exercises 5–10 by row reduction to echelon form.arrow_forwardIn Exercises 26–34, use properties of determinants toevaluate the given determinant by inspection. Explainyour reasoning Please show all workarrow_forwardIn Exercises 27–32, evaluate the determinant of the given matrix by inspection.arrow_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_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_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_forward
- 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.arrow_forwardEvaluate each determinant in Exercises 1-10. 1. 5 7 2. 4 5 6 8 3 3. -4 1 4. 7 9. 6. -2 -5 5. -7 14 1 3 -4 -8 2 7. -5 8. -2 9. 10. 2 6. 2. 2. -IN-10arrow_forwardIn Exercises 35–42, find all real values of x for which fx0. f(x)=x3−x2−3x+3arrow_forward
- 12.) Find the determinant of A = -2 3 1 -1 2 0 2 1 0 -2 1 * * 3 -3 4 Show your work.arrow_forward6. - Evaluate the determinant of 3 69 %3D 3arrow_forwardEvaluate 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_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning