Solution to Linear Algebraic Equations
Matrix form
[A] {X} = {B}
Truss example from class
initialize all elements in the A matrix to 0
i05..:= j05..:= Aij, 0:=
A
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
=
copy the matrix above, fill in the nonzero elements, and redefine A:
c30 cos 30 deg⋅():= s30 sin 30 deg⋅():=
c60 cos 60 deg⋅():= s60 sin 60 deg⋅():=
A
c30−
s30−
c30
s30
0
0
0
0
1
0
1−
0
c60
s60−
0
0
c60−
s60
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
:= B
0
1000
0
0
0
0
:=
coefficient matrix right-hand side constants
Matrix Inverse
XA
1−B⋅:= X
500−
433.013
866.025−
0
250
750
=
