Daftar Isi: PERANAN PSEUDO INVERS DALAM PENYELESAIAN PERSAMAAN LINIER SIMULTAN

Daftar Isi:

Linear algebra is a branch of mathematics science. One of the main problems in linear algebra is to solve simultaneous linear equations either consistent or inconsistent . In general , a simultaneous linear equations AX = B is not be consistent if the equation has no real solution . The purpose of this paper is to examine how to determine the best solution of inconsistent simultaneous linear equations by using the pseudo inverse matrix . Completion of simultaneous linear equations using the pseudo inverse matrix in this thesis can be done with the following steps : (1) Convert the form of simultaneous linear equations into matrix form AX = B; (2) Determine the pseudo inverse ( A^+) of the matrix coefficient A using the singular value decomposition method; (3) Substituting the value of the pseudo inverse (A^+) to the equation X = A^+ B or use the results of factoring singular value decomposition to determine the value of vector X. this method is very easy and efficient in determining the completion approach of simultaneous linear equations that are not consistent , which the completion approaches of the resulting solution is minimal relative to the norm 2 .