HP (Hewlett-Packard) HP 33s Calculator User Manual


 
15–12 Mathematics Programs
File name 33s-English-Manual-040130-Publication(Edition 2).doc Page : 388
Printed Date : 2004/1/30 Size : 13.7 x 21.2 cm
125
¥


Sets T equal to 125.
63
¥


Sets P equal to 63.
t
D


Calculates dot product.
¥


Calculates angle between
resultant force vector and lever.
¥


Gets back to input routine.
Solutions of Simultaneous Equations
This program solves simultaneous linear equations in two or three unknowns. It
does this through matrix inversion and matrix multiplication.
A system of three linear equations
AX + DY + GZ = J
BX + EY + HZ = K
CX + FY + IZ = L
can be represented by the matrix equation below.
=
L
K
J
Z
Y
X
IFC
HEB
GDA
The matrix equation may be solved for X, Y, and Z by multiplying the result matrix
by the inverse of the coefficient matrix.
=
Z
Y
X
L
K
J
IFC
HEB
GDA
Specifics regarding the inversion process are given in the comments for the
inversion routine,
I.