172
Another method is to store the result into a third matrix and then to view it
through the Edit screen of the
MATRIX
Catalog
. This is shown below.
Matrix
M3
is
created left and
edited right.
Probably the most common functions that you will use are
INVERSE, DET
and
TRN
(transpose), so some worked examples are included which use
them. There are also a number of further worked examples involving
matrices in the section at the back of the book.
Solving a system of equations
Eg. 1 Solve the system of equations:
Solution: The system of equations can be
represented as the system of matrices:
this system can be algebraically rearranged to:
where the inverse matrix is…
which gives a final answer of
2
3
1
x
y
z
= −
Mathematically what
we have done is:
2
3
6
3
12
3
4
13
x
y
z
x
y
z
x
y
z
+
− = −
− + =
− + =
2
3
1
6
1
3
1
12
3
1
4
13
x
y
z
−
−
−
=
−
1
2
3
1
6
1
3
1
12
3
1
4
13
x
y
z
−
−
−
=
−
−
1
2
3
1
1
3
1
3
1
4
−
−
−
−
1
where A is the coeff. matrix
and b is the constant matrix.
1
which is usually written as:
Ax
b
x
b
A
x
A
b
−
=
= ×
=
×
or as:
( )
x
inverse A
b
=
×
