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For each of the following scenarios, provide an example of an augmented matrix of a system of linear equations satisfying the stated conditions. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. a) A system of 5 equations in 3 variables having a unique solution. 00 0 000 100 0 0 0 00 0000 b) An inconsistent system of 6 equations in 5 variables, whose augmented matrix has rank 4. 00 000 00 00 0 0000 00 0 0 0 00 0 0 0 0 0 00 00 000 00 c) A system of 5 equations in 5 variables whose general solution involves 2 parameters. 0 0 0 000 0 0 0 000 00 0 000 00 0000 00 0 000

For each of the following scenarios, provide an example of an augmented matrix of a system of linear equations satisfying the stated conditions. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. a) A system of 5 equations in 3 variables having a unique solution. 00 0 000 100 0 0 0 00 0000 b) An inconsistent system of 6 equations in 5 variables, whose augmented matrix has rank 4. 00 000 00 00 0 0000 00 0 0 0 00 0 0 0 0 0 00 00 000 00 c) A system of 5 equations in 5 variables whose general solution involves 2 parameters. 0 0 0 000 0 0 0 000 00 0 000 00 0000 00 0 000

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 3E
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For each of the following scenarios, provide an example of an augmented matrix of a system of linear equations satisfying the stated conditions. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. a) A system of 5 equations in 3 variables having a unique solution. 00 0 0 00 0 0 0 0 00 0 0 0000 b) An inconsistent system of 6 equations in 5 variables, whose augmented matrix has rank 4. 00000 00 0 0 0 0 0 00 0 0 000 00 0 0 000 00 00 0 0000 c) A system of 5 equations in 5 variables whose general solution involves 2 parameters. 000000 00 0 000 00 0 000 0 0 00 00 00 0 000
Transcribed Image Text:For each of the following scenarios, provide an example of an augmented matrix of a system of linear equations satisfying the stated conditions. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. a) A system of 5 equations in 3 variables having a unique solution. 00 0 0 00 0 0 0 0 00 0 0 0000 b) An inconsistent system of 6 equations in 5 variables, whose augmented matrix has rank 4. 00000 00 0 0 0 0 0 00 0 0 000 00 0 0 000 00 00 0 0000 c) A system of 5 equations in 5 variables whose general solution involves 2 parameters. 000000 00 0 000 00 0 000 0 0 00 00 00 0 000
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