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15–12 Mathematics Programs
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm
W
D
/)
Calculates dot product.
f
/)
Calculates angle between
resultant force vector and lever.
f
@)
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.