### 5.61.4 Solving A*X=B : simult

simult is used to solve a linear system of equations (resp.
several linear systems of equations with the same matrix A) written
in matrix form (see also 5.36.17) :

A*X=b (resp. A*X=B)

simult takes as arguments the matrix A of the system and the
column vector (i.e. a one column matrix) b of the second
member of the system (resp.
the matrix B whose columns are the
vectors b of the second members of the different systems).

The result is a column vector solution of the system (resp. a matrix
whose columns are the solutions of the different systems).

For example, to solve the system :

Input :

simult([[3,1],[3,2]],[[-2],[2]])

Output :

[[-2],[4]]

Hence x=−2 and y=4 is the solution.

Input :

simult([[3,1],[3,2]],[[-2,1],[2,2]])

Output :

[[-2,0],[4,1]]

Hence x=−2 and y=4 is the solution of

whereas x=0 and y=1 is the solution of