Question: How do I find nth component of unqiue vector solution?

Hi,

I am a new maple user and I am having a problem with this question:

 .

To prevent typing errors you may copy and paste following Maple command for entering A.

A := Matrix([[5, 3, 2, 9, 9, 5, 7, 7, 4, 9, 7], [9, 9, 1, 3, 7, 2, 8, 7, 1, 1, 9], [4, 1, 5, 1, 8, 4, 6, 5, 8, 8, 5], [8, 2, 3, 2, 7, 9, 9, 9, 7, 8, 6], [8, 1, 8, 2, 5, 7, 6, 9, 1, 2, 6], [7, 6, 5, 3, 5, 6, 8, 5, 6, 9, 8], [3, 4, 5, 5, 7, 6, 9, 6, 2, 2, 3], [2, 2, 6, 8, 1, 7, 2, 7, 2, 6, 3], [3, 8, 9, 5, 4, 3, 1, 1, 4, 3, 9], [9, 8, 4, 2, 5, 6, 9, 8, 2, 7, 2]]);

Use Maple to create the vector b that is column 3 from A and the matrix C that is made from columns 1 to 2 and 4 to 11 of A(in the same order as the columns of A).

Now solve the matrix equation

C x = b

and enter the 8^th component of the unique vector solution for x in the box below.  (Your answer should be an exact fraction, not a decimal.)

ans: -84919369/15406909

This is how I started:

>with(LinearAlgebra):
>A := Matrix([[5, 3, 2, 9, 9, 5, 7, 7, 4, 9, 7], [9, 9, 1, 3, 7, 2, 8, 7, 1, 1, 9], [4, 1, 5, 1, 8, 4, 6, 5, 8, 8, 5], [8, 2, 3, 2, 7, 9, 9, 9, 7, 8, 6], [8, 1, 8, 2, 5, 7, 6, 9, 1, 2, 6], [7, 6, 5, 3, 5, 6, 8, 5, 6, 9, 8], [3, 4, 5, 5, 7, 6, 9, 6, 2, 2, 3], [2, 2, 6, 8, 1, 7, 2, 7, 2, 6, 3], [3, 8, 9, 5, 4, 3, 1, 1, 4, 3, 9], [9, 8, 4, 2, 5, 6, 9, 8, 2, 7, 2]]);

>b:=Column(A,2);

>c1:=Column(A,1):
c2:=Column(A,2):
c3:=Column(A,4):
c4:=Column(A,5):
c5:=Column(A,6):
c6:=Column(A,7):
c7:=Column(A,8):
c8:=Column(A,9):
c9:=Column(A,10):
c10:=Column(A,11):
C:=<c1|c2|c3|c4|c5|c6|c7|c8|c9|c10>;

>Cb:=<C|b>;

and then Im stuck...

If someone could point me to the right direction and a possible easier method. I would really appreciate it.

thanks!