Solving systems of linear equations – HP 39gs User Manual
Page 196
15-8
Matrices
M1
2
To divide by a
square matrix
For division of a matrix or a vector by a square matrix,
the number of rows of the dividend (or the number of
elements, if it is a vector) must equal the number of rows
in the divisor.
This operation is not a mathematical division: it is a left-
multiplication by the inverse of the divisor. M1/M2 is
equivalent to M2
–1
* M1.
To divide the two matrices M1 and M2 that you created
for the previous example, press the following keys:
M1
M2
To invert a matrix
You can invert a square matrix in HOME by typing the
matrix (or its variable name) and pressing
x
–1
. Or you can use the matrix INVERSE command.
Enter
INVERSE(matrixname) in HOME and press
.
To negate each
element
You can change the sign of each element in a matrix by
pressing
before the matrix name.
Solving systems of linear equations
Example
Solve the following linear system:
1. Open the Matrix
catalog and create a
vector.
MATRIX
2x 3y 4z
+
+
5
x y z
–
+
7
4x y
–
2z
+
1
=
=
=
HP 39gs English.book Page 8 Wednesday, December 7, 2005 11:24 PM