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, whether it be …

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

May 15, 2019 · Where is the reference to a straight line? So, whether linear is just a word used in different contexts? Does it have different meaning in different situation? Or linearity refers to some …

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 (especially in linear algebra).

Dec 22, 2020 · I have encountered this when referencing subsets and vector subspaces. For example, T ⊊ span(S) should mean that T is smaller than span(S)--at least from what I've gathered. Is ⊊ a sort of …

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 or …

Mar 17, 2026 · In other words, as long as the bases all match up, function composition for linear functions is the same thing as matrix multiplication. That may seem like a neat trick, but it is key to …

Nov 8, 2016 · 6 Trivial solution is a technical term. For example, for the homogeneous linear equation $7x+3y-10z=0$ it might be a trivial affair to find/verify that $ (1,1,1)$ is a solution. But the term trivial …

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 some field (a …

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).