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)
“Those who want to row on the ocean of human knowledge do not get far, and the storm drives those out of their course who set sail.”
—Franz Grillparzer (1791–1872)
“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)
“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)