2007-01-09 17:53:23 · 4 answers · asked by MD 1 in Science & Mathematics ➔ Mathematics
The rank, I believe, is the horizontal cluster of numbers. It's possible I'm mixing it with the file, but one of them is the horizontal; pretty sure its the horizontal. so in:
[10 12 15 22]
[2 3 5 63 12],
[2 3 5 63 12] -and- [10 12 15 22] are the ranks
2007-01-09 18:02:50 · answer #1 · answered by Shaun L 2 · 0⤊ 0⤋
the rank of a matrix is the number of independent rows or columns that is left after you perform a gauss elimination on the matrix. if the gauss elimination of a 4 x 4 matrix leaves two rows of 0's after gauss elimination, then the rank of matrix is 2.
2007-01-09 18:11:02 · answer #2 · answered by catfan 1 · 0⤊ 0⤋
The column rank of a matrix A is the maximal number of linearly independent columns of A. Likewise, the row rank is the maximal number of linearly independent rows of A.
The column rank and the row rank are always equal thus they are simply called the rank of A. It is commonly denoted by either rk(A) or rank A.
See Details-http://en.wikipedia.org/wiki/Rank_of_a_matrix
2007-01-09 18:05:05 · answer #3 · answered by Neo 3 · 0⤊ 0⤋
It's the dimenison of the range of the matrix.
2007-01-09 18:04:56 · answer #4 · answered by modulo_function 7 · 0⤊ 0⤋