The simult command can solve a linear system of equations or
several linear systems of equations with the same matrix of
coefficients (see also 6.56.3).
simult takes two arguments:
A, a matrix (the matrix of coefficients of a system).
b, a column vector (representing the right hand side of
the system) or a matrix (where each column represents the right
hand side of an equation).
simult(A,b) returns a column vector of the
solutions (or a matrix where each column is the column vector of a
solution).
Examples.
Solve
⎧
⎨
⎩
3x + y
=
−2
3x +2y
=
2
Input:
simult([[3,1],[3,2]],[[-2],[2]])
Output:
⎡
⎢
⎣
−2
4
⎤
⎥
⎦
[[-2],[4]]
Hence x=−2 and y=4 is the solution.
Solve
⎧
⎨
⎩
3x + y
=
−2
3
x +2y
=
2
and
⎧
⎨
⎩
3x + y
=
1
3x +2y
=
2
Input:
simult([[3,1],[3,2]],[[-2,1],[2,2]])
Output:
⎡
⎢
⎣
−2
0
4
1
⎤
⎥
⎦
So x=−2 and y=4 is the solution of the first system of equations
and x=0 and y=1 is the solution of the second system.