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