Sep 8, 2011 · I think linear refers to the fact that vector spaces are not curved. For instance, the wikipedia page for linear spaces gets redirected to the page on vector spaces. So does the …

Oct 7, 2012 · What is the difference between a linear and a 'non-linear' space. I am starting a self-study of linear algebra so this word is extremely important, but what exactly does it mean …

Jan 27, 2016 · Linear algebra is then devoted to the systematic study of this property, generalizing the notion of a set on which elements can be combined linearly in the notion of a linear space. …

Sep 13, 2014 · 3 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 …

May 15, 2019 · Possible duplicate of Concept of Linearity. Further reading: What does 'linear' mean in Linear Algebra? and What is linearity?, What is linearity numerically and geometrically?

Nov 5, 2018 · I have read about differential forms, bilinear forms, quadratic forms and some other r-linear forms but I still have this shred of doubt in my mind on what exactly is a form. I have …

May 3, 2015 · You may prove that these two definitions are equivalent. However, what is more important than that is to understand the difference between these two definitions. In fact they …

Linear algebra is linear because it is the study of linear functions on vector spaces (at its root anyway). A matrix actually is a linear map (and vice versa for finite dimensional spaces).

We define what is a vector and what we mean by a vector been generated by other vectors. We say that if a vector is some linear combination of other vectors - with respect to elements of …

Aug 1, 2016 · 45 Some of the comments above wonder about my description of linear algebra as the study of linear maps on finite-dimensional vector spaces. “Finite-dimensional” is specified …