HP 15C User Manual

HP-15C
Operation between a matrix and a scaler (=a plain number)
+ If X is a matrix and Y a scalar (or vice versa) the scalar will be added to
each element of the matrix
x If X is a matrix an Y a scalar (or vice versa) each element of the matrix
will be multiplied by the scalar
X=scalar, Y=matrix X=matrix, Y=scalar
- Substract scalar from each matrix
element
Substracts each matrix element
from scalar
÷
Divide each matrix element by
scalar
Calculates the inverse of the
matrix and then multiplies each
matrix element with scalar
Binary matrix operations
X and Y contain matrix descriptors
+
Add X+Y → RESULT, where RESULT may be X or Y.
X & Y must have the same dimensions
-
Substract Y-X → RESULT, where RESULT may be X or Y.
X & Y must have the same dimensions
x
Multiply Y•X→ RESULT, where RESULT may neither be X or Y.
X & Y must have the compatible dimensions
÷ Calculate X
-1
•Y→ RESULT, where RESULT may be Y but not X.
X will be replaced by its LU decomposition. If X is singular it is replaced
by a non-singular matrix close to X.
Note that the order of X and Y is reversed! It corresponds to the Y/X
order. X must be square and have dimensions compatible with Y
MATRIX 5
Calculate Y
T
•X→ RESULT, where RESULT may neither be X nor Y.
X & Y must have compatible dimension
MATRIX 6
Calulatest the residual: RESULT – Y•X→ RESULT
The descriptor of RESULT is placed in X.
RESULT may neither be X nor Y. X & Y must have compatible dimension
Matrix in LU
form
Its descriptor is displayed with two dashes after the matrix name A-E.
Operations ÷ and determinate (MATRIX 9) calculate a LU decompsed
matrix. The following operations can be performed with the LU
decomposition as with the original matrix: 1/x, ÷ (X=matrix) and
MATRIX 9
Complex matrices
Refer to pg. 160ff of the Owner's Manual.
Complex matrix operations are not supported directly. However, these operations can be
rewritten so that they can be solved using only real matrices. The HP-15C provides a
number of functions to simplify the conversions between complex and corresponding real
matrixes
Py,x
Converts X
C
→ X
P
. Number of rows of X must be even
Cy,x
Converts X
P
→ X
C
. Number of columns of X must be even
MATRIX 2
Expand X
P
toX. Number of rows of X must be even
MATRIX 3
CollapseX to X
P
. Number of columns of X must be even
GSB I, GTO I If I contains a matrix then the natrix name A-E is used as the target
label of the GSB or GTO
9

HP 15C Specifications

General

Memory registers	65
Storage media type	-
Type	Scientific
Cover	No
Form factor	Pocket
Control type	Buttons
Product color	Black, White
Housing material	Plastic
Digits	10 digits
Display type	LCD
Display number of lines	1 lines
Battery type	CR2032
Power source	Battery
Auto power off	Yes
Auto power off after	5 min
Number of batteries supported	2

Weight and Dimensions

Depth	15.2 mm
Width	129 mm
Height	80 mm
Weight	116 g