a.
To explain: how each equation uses the property. A property of determinants is given ( A and B are square matrices). Then use a graphing utility to verify that each equation is true.
a.
Answer to Problem 80E
The statement is verified.
Explanation of Solution
Given information: If Bis obtained from A by adding a multiple of a row of A to another
row of A or by adding a multiple of a column of A to another column of A. then
Calculation:
Row 1 multiplied by -5 and added to row 2.
This operation will not change the determinant.
Hence, the statement is verified.
b.
To explain: how each equation uses the property. A property of determinants is given ( A andB are square matrices). Then use a graphing utility to verify that each equation is true.
b.
Answer to Problem 80E
The statement is verified by graphical utility.
Explanation of Solution
Given information: If B is obtained from A by adding a multiple of a row of A to another
row of A or by adding a multiple of a column of A to another column of A. then
Calculation:
Multiply row 2 by -2 and add to row 1.
This operation will not change the determinant.
Using graphing utility.
And,
Hence, the statement is verified by graphical utility.
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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