利用 Online tool 作矩陣運算並處理線性規劃問題

Matrix computation This is a online tool for matrix calculator

Matrix computation Matrix Transpose : 轉置矩陣 Matrix Inverse : 反矩陣 Determinant calculation : 行列式值 Matrix Multiplication : 矩陣乘法 Systems of linear equation : 線性方程組

Matrix computation General system of linear equation : ax + by + cz = k1 dx + ey + fz = k2 gx + hy + iz = k3 Solving linear equation by AX =b Where

Matrix computation 當 A 的反矩陣存在，則有唯一解 x, y, z 為 X = A -1 *b Thus,

Matrix computation For example : x + 2y + 3z = 2 x + + z = 3 x + y - z = 1

Matrix computation Solution: Show in online matrix calculator

Matrix computation Using Maple to solve matrix computation > with(LinearAlgebra): > m:=Matrix([[1, 2, 3],[1, 0, 1],[1, 1, -1]]); > b:=Vector([2, 3, 1]); > LinearSolve(m, b);

Linear programing Help : Topic search > Linearsystemplot  with(Student[LinearAlgebra]):  infolevel[Student[LinearAlgebra]] := 1:  sys := {2*x + y = 2, x - y = 2,x=-2};  LinearSystemPlot( sys );  LinearSystemPlot( sys, [x,y,z] );

Linear programing Help : Topic search > linearprogramming  with(Optimization):  LPSolve(-4*x-5*y, {2*x + y <= 2, x - y <= 2,x=-2});