echelon form meaning in Hindi

Examples

1. Among other operations are computations of matrix inverses and lower echelon forms.
2. T and reduce it to row echelon form:
3. The reduced row echelon form of a matrix may be computed by Gauss Jordan elimination.
4. Elementary row operations are used in Gaussian elimination to reduce a matrix to row echelon form.
5. They are also used in Gauss-Jordan elimination to further reduce the matrix to reduced row echelon form.
6. With modern computers, Gaussian elimination is not always the fastest algorithm to compute the row echelon form of matrix.
7. On the other hand, the reduced echelon form of a matrix with integer coefficients generally contains non-integer coefficients.
8. The number of independent equations in the original system is the number of non-zero rows in the echelon form.
9. If the matrix is further simplified to reduced row echelon form, then the resulting basis is uniquely determined by the row space.
10. Using row operations to convert a matrix into reduced row echelon form is sometimes called "'Gauss Jordan elimination " '.