(A)
To find:
The determinant of the each diagonal matrix
(A)
Answer to Problem 105E
The determinant of the diagonal matrix isdia
Explanation of Solution
Given:
The matrix
Concept used:
Definition of determinant of a matrix:- The determinant of the matrix
Is given by
A diagonal matrix is a square matrix with all zero entries above and below diagonal
Calculation:
The determinant of the matrix
The determinant of a diagonal matrix is the product of the entries on the main diagonal
dia
dia
(B)
To find:
The determinant of the each diagonal matrix
(B)
Answer to Problem 105E
The determinant of the diagonal matrix isdia
Explanation of Solution
Given:
The matrix
Concept used:
Definition of determinant of a matrix:- The determinant of the matrix
Is given by
A diagonal matrix is a square matrix with all zero entries above and below diagonal
Calculation:
The determinant of the matrix
The determinant of a diagonal matrix is the product of the entries on the main diagonal
dia
dia
(C)
To find:
The determinant of the each diagonal matrix
(C)
Answer to Problem 105E
The determinant of the diagonal matrix isdia
Explanation of Solution
Given:
The matrix
Concept used:
Definition of determinant of a matrix:- The determinant of the matrix
Is given by
A diagonal matrix is a square matrix with all zero entries above and below diagonal
Calculation:
The determinant of the matrix
The determinant of a diagonal matrix is the product of the entries on the main diagonal
dia
dia
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