In Exercises 11–16, compute the adjugate of the given matrix, and then use Theorem 8 to give the inverse of the matrix.
12.
Trending nowThis is a popular solution!
Chapter 3 Solutions
Linear Algebra and Its Applications (5th Edition)
Additional Math Textbook Solutions
Intermediate Algebra for College Students (7th Edition)
Pre-Algebra Student Edition
Intermediate Algebra
Intermediate Algebra (8th Edition)
Introductory Algebra for College Students (7th Edition)
- In Exercises 27–32, evaluate the determinant of the given matrix by inspection.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_forwardUse Cramer’s rule to compute the solutions of the systems in Exercises 1–6.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_forwardIn Exercises 5–8, use the definition of to write the matrix equation as a vector equation, or vice versa.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_forward
- 4 11. 5 3 2 -2 2arrow_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 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_forward
- In Exercises 8–19, calculate the determinant of the given matrix. Use Theorem 3 to state whether the matrix is singular or nonsingulararrow_forwardFind the determinants in Exercises 5–10 by row reduction to echelon form. just number 7arrow_forwardFind the general solutions of the systems whose augmented matrices are given in Exercises 7–14.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning