2007-01-10 04:26:32 · 4 answers · asked by chandan27_sachin 1 in Science & Mathematics ➔ Mathematics
Rank of a matrix is defined by the order of the smallest order non-singular minor of a matrix.
There are many ways to find the rank of a matrix. Some most common of them are finding it by checking determinant of each minor or by reducing it to normal form or by reducing it to echelon form.
2007-01-10 04:34:46 · answer #1 · answered by Anonymous · 0⤊ 0⤋
The rank of a matrix is the maximum number of independent rows (or columns) is a matrix. So, consider
1.....2....3
-2....0....-1
3.....6....9
The above 3x3 matrix has a rank of two because the last row is a multiple of the first row.
HTH
Charles
2007-01-10 05:00:05 · answer #2 · answered by Charles 6 · 0⤊ 0⤋
the rank is the number of rows in a matrix
2007-01-10 04:34:06 · answer #3 · answered by mathematicsftw 1 · 0⤊ 0⤋
it is the max number of independent rows ( or columns that doesnt matter becuase it will be the same )
yoiu can find it by transforming the matrix into triangualir form and then count the indepedent rows
2007-01-10 06:30:49 · answer #4 · answered by gjmb1960 7 · 0⤊ 0⤋