Matrices Essay Example | Topics and Well Written Essays - 500 words

Networks - Essay Example It stays to decide whether any of the 33 sub lattices of the increased grid (B) have a non †zero determinant. For instance in a square sub grid of request 33 of [B], in particular, These arrangement of conditions are conflicting, on the grounds that the position of the coefficient grid [A] in which det(D) = 0. Additionally, a third request square sub grids of [B], to be specific, , and are with the end goal that their relating determinants are zero. At the end of the day, all the third request square sub grids of the increased network [B] have a zero determinant. Thusly, the position of the increased grid [B] is under 3. Since, there exists a second request square sub grid of lattice [B], with the end goal that det(H) = - 120≠0, the position of the increased framework [B] is 2. The position of the coefficient grid [A], whereis to be resolved. Det(A) = 0. Subsequently, the position of the coefficient lattice [A] is under 3. is a square sub lattice of network [A] and det (J) = - 3 ï‚ ¹ 0. Accordingly, the position of the coefficient framework [A] is 2. Consequently, rank of the coefficient network [A] = rank of the increased framework [B], as needs be the arrangement of conditions given by [A] [X] = [B] is steady. All things considered, the position of the coefficient grid [A] = rank of the enlarged framework [B] < 3, in this way there are just 2 limitations; subsequently, these conditions have endlessly numerous