This simple library facilitates the solving of simultaneous equations and finding the inverse of matrices via Gaussian Elimination.
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Create a Tableau to represent this set of equations
import { Tableau } from './main'
const tableau = Tableau.from([
[[ 2 , 1 , -1 ], [ 8 ]],
[[-3 , -1 , 2 ], [-11]],
[[-2 , 1 , 2 ], [-3 ]],
])Then to solve the equations
tableau.solve() // Returns [[2, 3, -1]]After solving, to get just the first elements of all right-hand side of the tableau, you can use
tableau.getLHSFirsts() // Returns [2, 3, -1]Finding the inverse the above LHS
import { Tableau } from './main'
const tableau = Tableau.from([
[[ 2 , 1 , -1 ], [ 1 , 0 , 0 ]],
[[-3 , -1 , 2 ], [ 0 , 1 , 0 ]],
[[-2 , 1 , 2 ], [ 0 , 0 , 1 ]],
])
tableau.solve() // Returns [ [ 4, 3, -1 ], [-2, -2, 1 ], [ 5, 4, -1 ] ]