echelon form उदाहरण वाक्य

उदाहरण वाक्य

1. This row echelon form is the augmented matrix of a system of equations that is equivalent to the given system ( it has exactly the same solutions ).
2. Some authors use the term Gaussian elimination to refer to the process until it has reached its upper triangular, or ( non-reduced ) row echelon form.
3. Since elementary row operations preserve the row space of the matrix, the row space of the row echelon form is the same as that of the original matrix.
4. My first ever class at university was about matrices and expressing systems of linear equations in terms of matrices equations, reducing to row echelon form and then solving.
5. For matrices with integer coefficients, the Hermite normal form is a row echelon form that may be calculated using Euclidean division and without introducing any rational number or denominator.
6. It works because the columns with pivots are a basis for the column space of the echelon form, and row reduction does not change the linear dependence relationships between the columns.
7. Instead of stopping once the matrix is in echelon form, one could continue until the matrix is in " reduced " row echelon form, as it is done in the table.
8. Instead of stopping once the matrix is in echelon form, one could continue until the matrix is in " reduced " row echelon form, as it is done in the table.
9. The process of row reducing until the matrix is reduced is sometimes referred to as "'Gauss-Jordan elimination "', to distinguish it from stopping after reaching echelon form.
10. Similarly, a system of equations is said to be in " reduced row echelon form " or in " canonical form " if its augmented matrix is in reduced row echelon form.