Concept explainers
a.
To find: the values of a, b, c, and d to make the statement true.
a.
Answer to Problem 51E
Explanation of Solution
Given information: The given matrix equation is as follows:
Calculation:
First evaluate the determinant of first matrix as follows:
This means that this matrix has inverse. Multiply the whole equation with the inverse from the left side to calculate the inverse as shown below.
Matrix multiplied with its inverse is identity matrix. So,
Therefore, the values of a, b, c, and d is 1, 0, 0, and 1 respectively.
b.
To find: and explain the result if matrix containing two column is multiplied by the matrix containing a, b, c, and d.
b.
Answer to Problem 51E
Any matrix multiplied by the identity matrix is that same matrix.
Explanation of Solution
Given information: The given matrix equation is as follows:
Calculation:
The matrix evaluated in part a. is as follows:
Since matrix containing a, b, c, and d is identity matrix, and any matrix multiplied by the identity matrix is that same matrix.
Example: If A is any matrix with two columns, then
Chapter 2 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- 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