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, column and/or spaces:
“Row after row with strict impunity
The headstones yield their names to the element,
The wind whirrs without recollection....”
—Allen Tate (1899–1979)
“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)
“through the spaces of the dark
Midnight shakes the memory
As a madman shakes a dead geranium.”
—T.S. (Thomas Stearns)