• ← LinearModelFit
• → MatrixExp

LinearSolve

WMA link

LinearSolve[matrix, right]

solves the linear equation system matrix . x = right
and returns one corresponding solution x.

• • LinearSolve[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}, {1, 2, 3}]

Test the solution:

• • {{1, 1, 0}, {1, 0, 1}, {0, 1, 1}} . {0, 1, 2}

If there are several solutions, one arbitrary solution is returned:

• • LinearSolve[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}, {1, 1, 1}]

Infeasible systems are reported:

• • LinearSolve[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}, {1, -2, 3}]