Apr 30, 2018 · The null space isn't empty, but it is the zero space (the subspace consisting of only the origin). As to why a matrix is invertible if is has zero nullity, this comes back to what it means for a …

May 29, 2019 · A is a m x n matrix, what are the possible values of nullity (A)? Values given as options are : a) (m-1) ≤ nullity (A) b) nullity (A) ≥ m c) nullity (A) ≤ n d) nullity (A)=0 And all options seems to …

Jul 23, 2019 · Nullity is when I multiply a vector or matrix and get $~0~$ as an answer So if I'm looking for the Rank of the Kernel of $~T~$ that is in $~\mathbb R^4~$, that makes no sense since the …

Sep 17, 2018 · Find rank and nullity of this linear transformation. Ask Question Asked 7 years, 2 months ago Modified 4 years, 8 months ago

Oct 24, 2021 · As in, what does it really mean to be one-to-one and onto in terms of Rank, Nullity, Null Space, Range, and the Dimension Theorem? I'm struggling to understand how these are all …

May 25, 2015 · Great thing about Linear algebra is we can somewhat transform linear operator into matrix form using usual or standard basis, these type of problem can be attacked by transforming …

Dec 27, 2020 · 1 I'm trying to understand the proof of Rank–nullity theorem,but there are parts that I don't understand: Steinitz exchange lemma

Jan 3, 2018 · 1 For square matrices, assuming you already know $\operatorname {nullity} (B) \le \operatorname {nullity} (AB)$, you can prove $\operatorname {nullity} (A) \le \operatorname {nullity} …

If nullity$ (AB)=0$, then nullity$ (B)=0$. Ask Question Asked 7 years, 10 months ago Modified 7 years, 10 months ago

Sep 15, 2018 · Definition of nullity in linear transformations Ask Question Asked 7 years, 1 month ago Modified 7 years, 1 month ago