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This system has the same number of equations as of unknowns, and will be
referred to as a square system. In general, there should be a unique solution to
the system. The solution will be the point of intersection of the three planes in
the coordinate system (x
1
, x
2
, x
3
) represented by the three equations.
To enter matrix A you can activate the Matrix Writer while the A: field is
selected. The following screen shows the Matrix Writer used for entering matrix
A, as well as the input form for the numerical solver after entering matrix A
(press ` in the Matrix Writer):
Press ˜ to select the B: field. The vector b can be entered as a row vector
with a single set of brackets, i.e., [13,-13,-6] @@@OK@@@ .
After entering matrix A and vector b, and with the X: field highlighted, we can
press @SOLVE! to attempt a solution to this system of equations:
A solution was found as shown next.
To see the solution in the stack press `. The solution is x = [1,2,-1].