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, column and/or spaces:
“When people ask me how I develop recipes, I have to respond: “travelling, eating, watching, experimenting, and constantly asking myself: ‘Do I want to eat this dish again?’” Will I yearn for it some evening when I’m hungry? Will I remember it in six months’ time? In a year? Five years from now?”
—Paula Wolfert, U.S. cookbook writer. Paula Wolfert’s World of Food, Introduction, Harper and Row (1988)
“I stand on top
of our back steps and breathe the rich air—
a mother skunk with her column of kittens swills the garbage pail.
She jabs her wedge-head in a cup
of sour cream, drops her ostrich tail,
and will not scare.”
—Robert Lowell (1917–1977)
“Le silence éternel de ces espaces infinis m’effraie. The eternal silence of these infinite spaces frightens me.”
—Blaise Pascal (1623–1662)