Determine by inspection (i.e., without performing any calculations) whether a linear system with the given augmented matrix has
a unique solution, infinitely many solutions, or no solution. 1 2 3 4 5 6 7 6 5 4 3 2 8 8 8 8 8 8
1 answer:
Answer:
Infinitely Many Solutions
Step-by-step explanation:
Given
![\left[\begin{array}{cccccc}1&2&3&4&5&6\\7&6&5&4&3&2\\8&8&8&8&8&8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%262%263%264%265%266%5C%5C7%266%265%264%263%262%5C%5C8%268%268%268%268%268%5Cend%7Barray%7D%5Cright%5D)
Required
Determine the type of solution
From the matrix, we have:
3 non-zero rows and 5 variables (the last column is the result)
When the number of variables is more than the number of non-zero rows, then such system has infinitely many solutions
i.e.


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