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

Frameworks - Essay Example It stays to decide whether any of the 33 sub frameworks of the expanded grid (B) have a non †zero determinant. For instance in a square sub lattice of request 33 of [B], to be specific, These arrangement of conditions are conflicting, on the grounds that the position of the coefficient framework [A] in which det(D) = 0. Additionally, a third request square sub frameworks of [B], in particular, , and are with the end goal that their relating determinants are zero. At the end of the day, all the third request square sub frameworks of the enlarged grid [B] have a zero determinant. Thusly, the position of the enlarged grid [B] is under 3. Since, there exists a second request square sub framework of network [B], with the end goal that det(H) = - 120≠0, the position of the increased grid [B] is 2. The position of the coefficient grid [A], whereis to be resolved. Det(A) = 0. Thus, the position of the coefficient grid [A] is under 3. is a square sub lattice of network [A] and det (J) = - 3 ï‚ ¹ 0. Along these lines, the position of the coefficient lattice [A] is 2. Henceforth, rank of the coefficient lattice [A] = rank of the enlarged grid [B], appropriately the arrangement of conditions given by [A] [X] = [B] is steady. By and by, the position of the coefficient network [A] = rank of the increased grid [B] < 3, in this manner there are just 2 requirements; thus, these conditions have interminably numerous