When should I go for RREF or REF? - Mathematics Stack Exchange
I'm sitting here doing rref problems and many of them seem so tedious. Any tricks out there to achieve rref with less effort or am I stuck with rewriting the matrix for every 2/3 operations? I kno...
Best way to find Reduced Row Echelon Form (rref) of a matrix?
Rows with only 0s in the RREF are due to the fact you have more polynomials than basic variables, it is the result of a redundancy in the polynomials. You have 3 polynomials/rows, but only two basic variables/basic columns (the two other variables are free variables).
So, row space and column space: RREF or REF, either is fine. For null space: RREF. Correct?
Difference between REF and RREF: REF: 1. Each nonzero row lies above every zero row. 2. The leading entry of a nonzero row lies in a column to the right of the column with the leading entry of any preceding row. 3. If a column contains the leading entry of some row, then all entries of that column below the leading entry are 0. RREF: the same conditions but also 4. If a column contains the ...
I know this is somewhat of an odd question, but I am having trouble with my TI-84 calculator and I don't know why. I'm trying to find the RREF of the transpose of a $4\times6$ matrix; for some reas...
Why can't my graphing calculator find the RREF of the transpose of a ...
@frentos, I guess the cited proof is making use of the fact that a variable whose column does have a leading 1 in the RREF can act as a free parameter, assuming the system is consistent ( we have a homogeneous system so we know ours is ). This, as far as I've seen, comes from how the RREF is defined.