Solving System of Linear Equation by Matrix Inverse
The two or more algebraic equation are called system of equations. The Java program finds solution vector X to a system of three linear equations by matrix inverse method. a 11 x 1 + a 12 x 2 + a 13 x 3 = b 1 a 21 x 1 + a 22 x 2 + a 23 x 3 = b 2 a 31 x 1 + a 32 x 2 + a 33 x 3 = b 3 The three linear equation is represented by matrix format by separating coefficients and unknown variables | a 11 a 12 a 13 | Coefficients matrix A = | a 21 a 22 a 23 | | a 31 a 32 a 33 | unknown variable X = [ x 1 x 2 x 3 ]' non-homogeneous b = [ b 1 b 2 b 3 ]' solve given matrix A and vector b (non-homogeneous vector) find value of vector X Matrix representation A X = b ...