HP 39gII

200 Matrices
A
M1
k-
2
E
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:
A
M1
n
A
M2
E
To invert a matrix You can invert a square matrix in Home by typing the
matrix (or its variable name) and
pressing
S
x
–1
E
. Or you can use the matrix
INVERSE command (-1) from the Matrix category of the
Math menu.
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
Solve the following linear system:
2x 3y 4z++ 5
xyz–+ 7
4xy– 2z+ 1
=
=
=