2009-05-04, 06:24 PM
KajitiSouls Wrote:Actually it only needs to be in "Reduced Row Echelon" form.I know what REF is, I've taken Linear Algebra, and even though I completely failed at it, I haven't forgotten how to do that
- All nonzero rows are above any rows of all zeroes.
- The leading coefficient (also called pivot) of a row is always strictly to the right of the leading coefficient of the row above it.
- Every leading coefficient is 1 and is the only nonzero entry in its column.
In the matrix:
| 1 0 -3 -10|
| 0 1 3 34|
| 0 0 0 0 |
the threes in column three just signify that it's a free variable. You can define the set of equations being represented by the matrix as a 1-parameter family of solutions, or a line in 3-space dimension.
Of course, an Identity matrix means there's only 1 solution, which is preferred =P But if you have the Reduced Row Echelon form of a matrix, and it's not an Identity matrix, then it has infinite solutions instead.

He said RREF, so I was being technical D:

