To find:The inverse of the matrix if possible.
Answer to Problem 19E
The inverse of the matrix is
Explanation of Solution
Given information:The given matrix is
Calculation:
To check that the inverse of matrix is possible, calculate the determinant of the matrix. If determinant is not equal to zero then inverse exist.
The determinant of the given matrix is:
So, the inverse of the matrix exist.
Let the matrix be
Apply row operation
Apply row operation
Apply row operation
Apply row operation
Now, apply row operation
Further apply row operations
Apply row operation
So,
Therefore, the inverse of given matrix is
Chapter 8 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning