Sep 8, 2011 · We get the name 'linear' from the prototypical example of a linear function in one dimension: a straight line through the origin. However, linear functions can be more complex …

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. …

May 15, 2019 · Here c is a constant. In this definition of linearity of function " f f " what does the word linear means? How does it relate to a straight line? Finally what does the term linear …

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 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 …

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 …

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).

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 …

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 …