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)
“When other helpers fail and comforts flee, when the senses decay and the mind moves in a narrower and narrower circle, when the grasshopper is a burden and the postman brings no letters, and even the Royal Family is no longer quite what it was, an obituary column stands fast.”
—Sylvia Townsend Warner (1893–1978)
“Surely, we are provided with senses as well fitted to penetrate the spaces of the real, the substantial, the eternal, as these outward are to penetrate the material universe. Veias, Menu, Zoroaster, Socrates, Christ, Shakespeare, Swedenborg,—these are some of our astronomers.”
—Henry David Thoreau (1817–1862)