Feb 16, 2015 · 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 …

Aug 4, 2019 · 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 …

So, row space and column space: RREF or REF, either is fine. For null space: RREF. Correct?

Sep 27, 2017 · REF is enough. RREF will give you the solutions if any, but REF is enough since the necessary and sufficient condition to have no solution is that the rank of the augmented …

Sep 13, 2019 · RREF -> Reduced Row Echelon Form REF -> Row Echelon Form So I'm kinda stuck here. I have a quiz coming up next Wednesday and I can't seem to fully understand Row …

@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 …

Mar 31, 2013 · Regarding the definition of a RREF matrix.We dont need the LEADING ( first non-zero element from the left ) to be a pivot ( 1 ), right ? We can have a messy matrix in RREF as …

Aug 13, 2021 · For example, solving a system of linear equations, it is typically quicker to just compute the REF of a system, and then solve the system by 'back substitution,' rather than …

Jan 24, 2016 · Old thread, but in fact putting the vectors in as columns and then computing reduced row echelon form gives you more insight about linear dependence than if you put …

Jan 8, 2025 · By a first glance all three rows have zero sum, so multiples of $ (1,1,1)$ yield the nullvector. The characteristic polynomial is $- ( (\lambda -6) \lambda (\lambda +12))$, so there …