Find the determinant of the given matrix.
Answer to Problem 50E
The determinant of the matrix
Explanation of Solution
Given:
The matrix
Consider the matrix:
The first column and the second row have a zero as one of the entries. Hence, it is easier to expand using of them.
By the definition of determinants, for row 3 expansion:
Since
In order to find the co-factor, the corresponding minor must be determined.
To find the minor
Therefore,
Hence,
To find the co-factor, use the relation:
Thus,
To find the minor
Therefore,
Hence,
To find the co-factor, use the relation:
Thus,
Hence,
Thus,
Hence, the determinant of the matrix
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