| 1. | There are alternative expressions of transformation matrices involving row vectors that are preferred by some authors.
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| 2. | This matrix must be the product of a single column vector with a single row vector.
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| 3. | Another important example is the transpose operation in linear algebra which takes row vectors to column vectors.
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| 4. | :: I was multiplying a row vector on the left and the matrix on the right.
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| 5. | Therefore, the row vectors of the augmented code \ mathit { K } form a Hadamard exponent.
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| 6. | For more on the treatment of row vectors and column vectors of multivariable functions, see matrix calculus.
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| 7. | Correspondingly, line coordinates may be written as row vectors,, with colons, or with a subscript,.
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| 8. | The initial state of a probabilistic automaton is given by a row vector v, whose components add to unity:
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| 9. | Recalling that point coordinates are written as column vectors and line coordinates as row vectors, we may express this polarity by:
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| 10. | I think the idea is that column vectors would be indexed with raised indices and row vectors with lowered indices with tensors.
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