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:
“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)
“I got it: Man Without Head Kills Rich Jeweler. What an eight- column spread that’d be on the front page. Why that’s the greatest story since Lindbergh flew to Paris. Oh boy, if only it was true.”
—P. J. Wolfson, John L. Balderston (1899–1954)
“through the spaces of the dark
Midnight shakes the memory
As a madman shakes a dead geranium.”
—T.S. (Thomas Stearns)