Row And Column Spaces
The row space and column space of an m-by-n matrix with real entries is the subspace of Rn generated by the row vectors and column vectors, respectively, of the matrix. Its dimension is equal to the rank of the matrix and is at most min(m,n).
Famous quotes containing the words row and, row, column and/or spaces:
“all afternoon
Their witless offspring flock like piped rats to its siren
Crescendo, and agape on the crumbling ridge
Stand in a row and learn.”
—William Stanley Merwin (b. 1927)
“When I develop my recipes I always look for ways to create what I call the Big Taste. While I enjoy eating simple grilled foods, what interests me when I cook are dishes with a taste that is fully dimensional.”
—Paula Wolfert, U.S. cookbook writer. Paula Wolfert’s World of Food, Introduction, Harper and Row (1988)
“Averageness is a quality we must put up with. Men march toward civilization in column formation, and by the time the van has learned to admire the masters the rear is drawing reluctantly away from the totem pole.”
—Frank Moore Colby (1865–1925)
“Deep down, the US, with its space, its technological refinement, its bluff good conscience, even in those spaces which it opens up for simulation, is the only remaining primitive society.”
—Jean Baudrillard (b. 1929)