To solve: The system of equations algebraically by any method.
Answer to Problem 79AYU
Solution:
The given system of equation is inconsistent.
Explanation of Solution
Given:
Calculation:
The onginal system of equations can be written compactly as a matrix equation.
Where,
To solve the for x, y andz the solution of
Multiply both sides by
By association property of matrix multiplication, the above equation can be rewnitten as:
By the defmition of inverse matrix
By the property of Identity matrix,
Hence,
i.e.
Determining
Step 1: Construction of
Step 2: Transform the matrix
Interchange Rows R1 and R2.
The matrix
The given system of equation is inconsistent.
Chapter 11 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
Precalculus
- 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