(a)
The determinant of each diagonal matrix.
(a)
Answer to Problem 103E
The determinant of this matrix is 28
Explanation of Solution
Given information:
A diagonal matrix is given as
Formula used:
Matrix multiplication is used.
Calculation:
Consider the matrix
Hence the determinant of this matrix is 28
Conclusion:
The determinant of this matrix is 28
(b)
The determinant of the diagonal matrix
(b)
Answer to Problem 103E
The determinant of this matrix is -10
Explanation of Solution
Given information:
A diagonal matrix is given as
Formula used:
Matrix multiplication is used.
Calculation:
Consider the matrix
Hence the determinant of this matrix is -10
Conclusion:
The determinant of this matrix is -10
(c)
The determinant of the diagonal matrix.
(c)
Answer to Problem 103E
The determinant of this matrix is -12
Explanation of Solution
Given information:
A diagonal matrix is given as
Formula used:
Matrix multiplication is used.
Calculation:
Consider the matrix
Hence the determinant of this matrix is -12
From these observations we can make a conjecture that determinant of the diagonal matrix is the product of its diagonal elements
Conclusion:
The determinant of this matrix is -12
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