Section 12: Calculating with Matrices 165
Inverting a Complex Matrix
You can calculate the inverse of a complex matrix by using the fact that
(
)
-1
=
(
-1
).
To calculate inverse,
Z
-1
, of a complex matrix
Z
:
1. Store the elements of
Z
in memory, in the form either of
Z
P
or of
Z
C
2. Recall the descriptor of the matrix representing
Z
into the display.
3. If the elements of
Z
were entered in the form
Z
C
,
press
´p
to
transform
Z
C
into
Z
P
4. Press
´
>
2 to transform
Z
P
into
.
5. Designate a matrix as the result matrix. It may be the same as the
matrix in which
is stored.
6. Press
∕
. This calculates (
)
-1
, which is equal to (
-1
). The values
of these matrix elements are stored in the result matrix, and the
descriptor of the result matrix is placed in the X-register.
7. Press
´
>
3 to transform (
-1
) into (
Z
-1
)
P
.
8. If you want the inverse in the form (
Z
-1
)
C
, press
|
c
You can derive the complex elements of
Z
-1
by recalling the elements of
Z
P
or
Z
C
and then combining them as described earlier.
Example:
Calculate the inverse of the complex matrix
Z
from the previous
example.
8
5
2
3
3
1
7
4
P
Z
A
.
Keystrokes
Display
l>A
A 4
2
Recalls descriptor of matrix
A
.
´
>
2
A 4
4
Transforms
Z
P
into
and
redimensions matrix
A
.
Summary of Contents for HP-15C
Page 1: ...HP 15C Owner s Handbook HP Part Number 00015 90001 Edition 2 4 Sep 2011 ...
Page 17: ...Part l HP 15C Fundamentals ...
Page 64: ......
Page 65: ...Part ll HP 15C Programming ...
Page 118: ...118 ...
