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Give the explanation for the given matrices.
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Explanation of Solution
Given information:
The given reduced matrices are
Calculation:
There are three types of solutions.
For unique solution, the row-reduced matrix has the same number of non-zero rows as variables
Example
For many solutions, the row-reduced matrix has more variables than non-zero rows.
Example
In the augmented matrix
If
Then,
For no solution, the row-reduced matrix has a row of zeros on the left side, but the right hand side is not zero.
Example
From the above condition, the first and second matrix has a unique solution and the third matrix has many solutions.
Hence , they cannot be all correct.
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
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