linearly dependent sentence in Hindi

Examples

1. :with equality if and only if and are linearly dependent.
2. If the functions are linearly dependent then all generalized Wronskians vanish.
3. Therefore, d is at least the minimum number of linearly dependent columns.
4. are linearly dependent, so that the rank of this larger matrix is still 2.
5. Indeed, the Slater determinant vanishes if the set { ? i } is linearly dependent.
6. If such a linear dependence exists, then the " n " vectors are linearly dependent.
7. A violation of this assumption is perfect multicollinearity, i . e . some explanatory variables are linearly dependent.
8. Since determinants with linearly dependent rows are equal to 0, one is only left with the last one:
9. For example, if the functions are polynomials and all generalized Wronskians vanish, then the functions are linearly dependent.
10. Typically, piezoelectric expansion is linearly dependent on applied voltage and a simple subtraction can be used to correct for this effect.