linearly independent in a sentence

Examples

1. H "'matrix with linearly independent columns.
2. A set of vectors which is linearly independent and basis for that vector space.
3. Nonzero pairwise orthogonal vectors are always linearly independent.
4. It is represented mathematically by the linearly independent eigenstate with the same energy eigenvalue.
5. The set of equations must be consistent and all equations must be linearly independent.
6. If the vectors are not linearly independent, the polar sine will be zero.
7. Only six of the matrices are linearly independent.
8. This requires d ^ 2 linearly independent operators.
9. As they are also linearly independent, they form a basis of this module.
10. A system of equations whose left-hand sides are linearly independent is always consistent.