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**Vidal** Suppose that you are given the following system of linear equations

[variables are x1, x2, x3 and x4]

x1 + 3x2 + 9x3 + 2x4 =5

x1 + 3x3 - 4x4 =5

x2 + 2x3 + 3x4 =-1

-2x1 + 3x2 + 5x4 =-1

What is the general solution for the system? Write this general solution in

parametric vector form.

i row reduced the augmented matrix into:

1 0 3 0 1

0 1 2 0 2

0 0 0 0 -1

0 0 0 0 0

did i row reduce this matrix correctly?

the solution i got is

x1=1-3x3

x2=2-2x3

x3 is free

x4=-1

any mistakes?

I don't really know the difference between general solution and general solution in parametric vector form, can anybody show me the two? thanks.