Concept explainers
a.
The determinant by expanding the second row of the given matrix is to be estimated:
Answer to Problem 31E
The determinant by expanding the second row of the given matrix is
Explanation of Solution
Given:
Concept Used:
By deleting the row and column in which the element is present the minor of the square matrix is formed. The minor of the element with the appropriate sign is known as the cofactor.
The minor and cofactor are represented by
The cofactor is calculated by using the following expression:
Calculations:
The given matrix is:
Expanding the second row that means there is need to calculate the values of
The cofactor values are calculated as:
So the determinant of this matrix is:
Conclusion:
Hence,
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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