Solutions of simultaneous equations – HP 32SII User Manual
Page 238
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
I
F
C
H
E
B
G
D
A
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
I
F
C
H
E
B
G
D
A
Specifics regarding the inversion process are given in the comments for the
inversion routine, I.