Question 7 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 4 equations in 3 variables having a unique solution.0 0 00 0 00 0 0b) An inconsistent system of 5 equations in 6 variables, whose augmented matrix has rank 4.o o o]0 00 0 00 0 0c) A system of 3 equations in 5 variables whose general solution involves 3 parameters.0 0 00 0 00 0 0

We know that a system of equation AX=b is consistent if and only if rank of augmented matrix A|b is…

Answered: A system of 4 equations in 3 variables…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 38EQ

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Question 7
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 4 equations in 3 variables having a unique solution.
0 0 0
0 0 0
0 0 0
b) An inconsistent system of 5 equations in 6 variables, whose augmented matrix has rank 4.
o o o]
0 0
0 0 0
0 0 0
c) A system of 3 equations in 5 variables whose general solution involves 3 parameters.
0 0 0
0 0 0
0 0 0

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