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)
“Row after row with strict impunity
The headstones yield their names to the element,
The wind whirrs without recollection....”
—Allen Tate (1899–1979)
“Sleep sweetly in your humble graves,
Sleep, martyrs of a fallen cause;
Though yet no marble column craves
The pilgrim here to pause.”
—Henry Timrod (1828–1867)
“through the spaces of the dark
Midnight shakes the memory
As a madman shakes a dead geranium.”
—T.S. (Thomas Stearns)