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)
“The actor who lets the dust accumulate on his Ibsen, his Shakspere [sic], and his Bible, but pores greedily over every little column of theatrical news, is a lost soul.”
—Minnie Maddern Fiske (1865–1932)
“When I consider the short duration of my life, swallowed up in the eternity before and after, the little space which I fill and even can see, engulfed in the infinite immensity of spaces of which I am ignorant and which know me not, I am frightened and am astonished at being here rather than there. For there is no reason why here rather than there, why now rather than then.”
—Blaise Pascal (1623–1662)