Give the explanation for the cofactors of an entry of a matrix and about the cofactors used to find the determinant of the matrix too.
Explanation of Solution
Given information:
Conditions for the inverse matrix.
Calculation:
To define the determinant of a square matrix of order
If
In the sign pattern for cofactors at the left, notice that odd positions ( where
If
det
Applying this definition to find a determinant is called expanding by cofactors.
Example
Cofactors are (first column and first row).
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