Sep 13, 2014 · The definition of linearity depends on context. A linear map satisfies the conditions above. A linear DE means that the associated Differential operator is linear in each derivative …

What does bilinear really mean? Everytime I heard the word, I think it should be "linear in 2 ways?" For example, from the definition of inner product (taken from Appendix A of "Wavelets …

Apr 26, 2022 · You have learned that the derivative of a sum is the sum of the derivatives and that the derivative of a constant times a function is that constant times the derivative of the …

Jan 27, 2016 · I hear so many terms involving the word "linear". Linear function, linear equation, linear system, linear operator, linear transformation, linear mapping, linear space, linear …

Mar 15, 2018 · Proving Linearity Ask Question Asked 7 years, 9 months ago Modified 5 years, 11 months ago

Apr 30, 2014 · How to check the linearity of a function? Ask Question Asked 11 years, 8 months ago Modified 11 years, 8 months ago

Apr 17, 2017 · Maybe you have just lost interest in this. But it is a fundamental exercise on convariances, and the solution may be of general interest. The first hint of @drhab (on bi …

Jan 10, 2024 · TLDR; Why do we need the additivity condition to capture the linearity of a function? In Linear Algebra, it is stated that a function is considered a linear map if it satisfies …

Sep 3, 2015 · You can just show directly that the $\mathbb R$-linearity works out. For showing that complex linearity doesn't, just pick specific vectors and complex scalars; almost anything …

Nov 16, 2021 · 2 In linear algebra, we know that for every linear operator, if we know where the basis elements are mapped to, we know where every element is mapped to by linearity. Now I …