In Exercises 11–16, compute the adjugate of the given matrix, and then use Theorem 8 to give the inverse of the matrix.
16.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Pearson eText Linear Algebra and Its Applications -- Instant Access (Pearson+)
Additional Math Textbook Solutions
Elementary Linear Algebra (Classic Version) (2nd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
A Graphical Approach to College Algebra (6th Edition)
Beginning and Intermediate Algebra (6th Edition)
College Algebra Essentials
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Intermediate Algebra (7th Edition)
- In Exercises 27–32, evaluate the determinant of the given matrix by inspection.arrow_forwardUse Cramer’s rule to compute the solutions of the systems in Exercises 1–6.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
- In 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_forwardUnless otherwise specified, assume that all matrices in these exercises are nxn. Determine which of the matrices in Exercises 1–10 are invertible. Use as few calculations as possible. Justify your answersarrow_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
- [M] In Exercises 37–40, determine if the columns of the matrix span R4.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_forward4 11. 5 3 2 -2 2arrow_forward
- Find the general solutions of the systems whose augmented matrices are given in Exercises 7–14.arrow_forwardFind the determinants in Exercises 5–10 by row reduction to echelon form. just number 7arrow_forwardIn Exercises 8–19, calculate the determinant of the given matrix. Use Theorem 3 to state whether the matrix is singular or nonsingulararrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning