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Question from Rasanga, a student:

Use the row echelon form of the augmented matrix to solve the following linear system.
X1+2X2+X4=6
X3+6X4=7
X5=1

Rasanga,

The augmented matrix is already in row echelon form

matrix

From this, or the equations you have, you can read off the solution

x5 = 1
x3 = 7 - 6x4
x1 = 6 - 2x2 - x4

There are in fact infinitely many solutions since x2 and x4 can be given any values and the x1, x3 and x5 generated by the expressions above.

Harley

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