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can be written as the matrix equation A x = b , if
2
A
1
2
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
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:
2x
+ 3x
–5x
1
2
x
– 3x
+ 8x
1
2
2x
– 2x
+ 4x
1
2
3
5
3
8
,
x
2
4
= 13,
3
= -13,
3
= -6,
3
x
1
,
b
x
and
2
x
3
, x
, x
) represented by the three
1
2
3
13
13
.
6
Page 9-10

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