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

Matrices - Essay ExampleIt remains to determine if any of the 33 hit man matrices of the augmented hyaloplasm (B) have a non zero determinant. For example in a square champion matrix of order 33 of B, namely,These system of equations are inconsistent, because the rank of the coefficient matrix A in which det(D) = 0. Moreover, a 3rd order square hired gun matrices of B, namely, , and are such that their corresponding determinants are zero. In other words, all the 3rd order square sub matrices of the augmented matrix B have a zero determinant. Therefore, the rank of the augmented matrix B is less than 3. Since, there exists a 2nd order square sub matrix of matrix B, such that det(H) = -1200, the rank of the augmented matrix B is 2.The rank of the coefficient matrix A, whereis to be determined. Det(A) = 0. Hence, the rank of the coefficient matrix A is less than 3. is a square sub matrix of matrix A and det (J) = -3 0. Therefore, the rank of the coefficient matrix A is 2. Hence, r ank of the coefficient matrix A = rank of the augmented matrix B, accordingly the system of equations given by A X = B is consistent. Nevertheless, the rank of the coefficient matrix A = rank of the augmented matrix B 3, therefore there are only 2 constraints consequently, these equations have infinitely many