Java Programming Lab Code

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 ...

The Java program implements following three important matrix operation in this code. and these operation is applied on a square matrix size of 3x3. They are, Matrix Determinant Matrix singular or not Adjoint matrix Matrix Inversion AA -1 = I (A -1 ) -1 = A Matrix Determinant - algorithm matrix A - a matrix size of 3x3 A-cofactor(0,c) - read cofactor matrix of 0 th row and c th column of the matrix A set M[] =0 set D=0 Read matrix A For c=0 : A-column matrix cf = A-cofactor(0,c) M[c]=cf[[0][0]*cf[[1][1] - cf[[0][1]*cf[[1][0] End For c=1 : A-column D = D + pow(-1,c+0) *M[c] End print "determinant" D Matrix Inverse - algorithm matrix A - a matrix si...