Q:

find the solution set of the system of linear equations. Give the values of n and r, and interpret your answers in light of the theorems of this section

Nesma
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2022-05-26
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find the solution set of the system of linear equations. Give the values of n and r,
and interpret your answers in light of the theorems of this section.
x1 + 4x2 + 3x3 − x4 = 5

x1 − x2 + x3 + 2x4 = 6

4x1 + x2 + 6x3 + 5x4 = 9 

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Nesma
2022-05-26
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The augmented matrix for the given linear system and its row-reduced form are:

 

 

 

For this system, we have n = 4 and r = 3. However, with a pivot column in the last column we see that
the original system has no solution by Theorem RCLS.

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