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)
“Sleep sweetly in your humble graves,
Sleep, martyrs of a fallen cause;
Though yet no marble column craves
The pilgrim here to pause.”
—Henry Timrod (1828–1867)
“In any case, raw aggression is thought to be the peculiar province of men, as nurturing is the peculiar province of women.... The psychologist Erik Erikson discovered that, while little girls playing with blocks generally create pleasant interior spaces and attractive entrances, little boys are inclined to pile up the blocks as high as they can and then watch them fall down: “the contemplation of ruins,” Erikson observes, “is a masculine specialty.””
—Joyce Carol Oates (b. 1938)