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 …

Jul 23, 2019 · Nullity is when I multiply a vector or matrix and get 0 0 as an answer So if I'm looking for the Rank of the Kernel of T T that is in R4 R 4 , that makes no sense since the Kernel of T T is a …

May 29, 2019 · We know that for an m × n m × n matrix, the input vector x x → must have dimension n n, so the maximum dimension of the space of vectors for which Ax =0 A x → = 0 → is clearly n n …

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 …

Sep 17, 2018 · Find rank and nullity of this linear transformation. Ask Question Asked 7 years, 3 months ago Modified 4 years, 9 months ago

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 …

Jul 26, 2016 · 3 The matrix has one linearly independent row (take the negative of the second to get the third) implying that the rank is 1 and the nullity is 2.

Dec 15, 2021 · For a finite dimensional vector space, V V, and linear transformation, T T, what is the relationship between the nullity of T T and the nullity of T2 T 2? I read somwhere that if nullity(T) = k …

Dec 27, 2020 · Proof of Rank–nullity theorem Ask Question Asked 5 years ago Modified 3 years, 9 months ago

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