31. Where is the-th column vector of the product matrix and is the-th column vector of the matrix. 32. Where is the-th column vector of the product matrix and is the-th column vector of the matrix. 33. In some advanced contexts, a row and a column vector have different meaning; see covariance and contravariance of vectors. 34. Let V = k ^ n be the space of rank n column vectors over k, and form the tensor power 35. In bra ket notation, these easily arrange into the components of a vectorEach } } is usually identified as a column vector 36. Eigenfunctions can be expressed as column vectors and linear operators can be expressed as matrices, although they may have infinite dimensions. 37. Recalling that point coordinates are written as column vectors and line coordinates as row vectors, we may express this polarity by: 38. The column vectors of " U " are the eigenvectors of " A " and they are orthonormal. 39. If these were three dimensional instead, then those 5d column vectors would come to life as points in projective four space. 40. I think the idea is that column vectors would be indexed with raised indices and row vectors with lowered indices with tensors.
