scalar multiplication in a sentence
Examples
- To " complexify " a space means extending ordinary scalar multiplication of vectors by real numbers to scalar multiplication by complex numbers.
- On this underlying set one defines addition and scalar multiplication pointwise, and " multiplication " in the incidence algebra is a convolution defined by
- The "'left scalar multiplication "'of a matrix with a scalar gives another matrix of the same size as.
- In addition, there is a natural action of \ mathbb R _ { > 0 } on cv _ n by scalar multiplication.
- For example, the inversion; since it is scalar multiplication by " 1, it is clear that it commutes with any linear transformation ).
- With the pointwise addition and scalar multiplication of sections, " F " ( " U " ) becomes itself a real vector space.
- M�bius scalar multiplication coincides with Einstein scalar multiplication ( see section above ) and this stems from M�bius addition and Einstein addition coinciding for vectors that are parallel.
- M�bius scalar multiplication coincides with Einstein scalar multiplication ( see section above ) and this stems from M�bius addition and Einstein addition coinciding for vectors that are parallel.
- The coordinate space may then be interpreted as the space of all column vectors, or all row vectors with the ordinary matrix operations of addition and scalar multiplication.
- This is homogeneous of degree " d " under scalar multiplication on " V ", and therefore passes to a mapping on the underlying projective spaces.