Solving systems of linear equations – HP 39gs User Manual

Page 196

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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

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