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)
“The church is a sort of hospital for men’s souls, and as full of quackery as the hospital for their bodies. Those who are taken into it live like pensioners in their Retreat or Sailor’s Snug Harbor, where you may see a row of religious cripples sitting outside in sunny weather.”
—Henry David Thoreau (1817–1862)
“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)
“Every true man is a cause, a country, and an age; requires infinite spaces and numbers and time fully to accomplish his design;—and posterity seem to follow his steps as a train of clients.”
—Ralph Waldo Emerson (1803–1882)