HP 15C User Manual (English)

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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

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

•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

→ X

. Number of rows of X must be even

Cy,x

Converts X

→ X

. Number of columns of X must be even

MATRIX 2

Expand X

toX. Number of rows of X must be even

MATRIX 3

CollapseX to X

. 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

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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