Sep 8, 2011 · Why Linear Algebra named in that way? Especially, why we call it linear? What does it mean?

Oct 7, 2012 · 5 What exactly does 'linear' mean. For example, Hilbert space is a linear space. What is the difference between a linear and a 'non-linear' space. I am starting a self-study of …

May 16, 2020 · This definition works for linear functions but I was asking more about the specific term "linear" and how you would approach it regardless of what comes after the word linear, …

I have a very hard time remembering which is which between linear independence and linear dependence... that is, if I am asked to specify whether a set of vectors are linearly dependent …

This is non-trivial? Where does no solution come in? I understand that if there is no solution, then all of the vectors do not intersect at a specific coordinate (which is the solution to the system of …

In a way that is linear, which means it has a starting point and end point, and progresses straight from one stage to another like a line. For example: "Time moves in a linear fashion" "In our …

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 …

Does it have any geometrical meaning? Also, I would ask is there any physical entity described by a linear combination and or linear dependent vectors?

Linear algebra deals with the study of linear systems. A "linear system" is a system of lines. So yes, when applying matrices, a linear system is involved. That being said, there are typically …

Jun 8, 2013 · How to distinguish linear differential equations from nonlinear ones? I know, that e.g.: $$ y''-2y = \\ln(x) $$ is linear, but $$ 3+ yy'= x - y $$ is nonlinear. Why?