8 февр. 2013 г. · there is no solution when the matrix is inconsistent. This means you will have a zero row in your reduced matrix corresponding to a non-zero ...

2 янв. 2019 г. · The book solution is correct. In order to have no solution, it is necessary that the determinant of the matrix of coefficients be zero: this ...

16 янв. 2014 г. · If the determinant is 0 (as in the second and third example), then the system either has no solution or infinitely-many, but we cannot (by this ...

12 дек. 2016 г. · If the sums of row 1 and row 2 add to the sum of row 3 there will be infinite solutions. If not there will be zero solutions.

28 мар. 2023 г. · A system of linear equations has no solution iff its augmented matrix has a greater rank than its coefficient matrix. (And, notice from this ...

13 мая 2012 г. · An m×n system of m linear equations in n unknowns has no solutions when the system can be transformed into an equivalent system in which one of the equations ...

3 апр. 2019 г. · If an inhomogeneous system of equations has more equations than variables, it has no solution. Proof: Let I be an inhomogeneous system of ...

6 апр. 2014 г. · If this augmented matrix reduces to a matrix with a row of zeros except in the last column, then the system is inconsistent and has no solutions.

22 февр. 2016 г. · If the coresponding number from the vector is non-zero (say n), than the system has no solution, because what we obtain is 0x+0y+0z=n, but n is ...

9 окт. 2018 г. · The system has solutions if and only if the matrix of the homogeneous linear system and the augmented matrix have the same rank. When there are ...