Solutions Of Simultaneous Equations - HP 33s User Manual

¥
125
¥
63
t
D
¥
¥

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
can be represented by the matrix equation below.
The matrix equation may be solved for X , Y , and Z by multiplying the result matrix
by the inverse of the coefficient matrix.
Specifics regarding the inversion process are given in the comments for the
inversion routine, I .
15–12
Mathematics Programs










AX + DY + GZ = J
BX + EY + HZ = K
CX + FY + IZ = L
 
A D G
 
B E H
 
 
C F I
 

A D G

B E H


C F I

Sets T equal to 125.
Sets P equal to 63.
Calculates dot product.
Calculates angle between
resultant force vector and lever.
Gets back to input routine.
   
X J
   
Y K
   
   
Z L
   
    
J X
    
K Y
    
    
L Z
    