| 11. | H "'matrix with linearly independent columns.
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| 12. | A set of vectors which is linearly independent and basis for that vector space.
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| 13. | Nonzero pairwise orthogonal vectors are always linearly independent.
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| 14. | It is represented mathematically by the linearly independent eigenstate with the same energy eigenvalue.
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| 15. | The set of equations must be consistent and all equations must be linearly independent.
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| 16. | If the vectors are not linearly independent, the polar sine will be zero.
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| 17. | Only six of the matrices are linearly independent.
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| 18. | This requires d ^ 2 linearly independent operators.
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| 19. | As they are also linearly independent, they form a basis of this module.
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| 20. | A system of equations whose left-hand sides are linearly independent is always consistent.
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