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

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 …

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).

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. Calling …

May 16, 2018 · The composition of two linear transforms corresponds to the product of their matrices. The inverse of a linear transform corresponds to the matrix inverse. A determinant measures the …

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).

Apr 26, 2022 · 6 A supplementary note: The classification of PDEs into linear, semilinear, and quasilinear depends on how the highest-order derivatives of the unknown function appear in the …

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 …

Apr 18, 2013 · Sometimes even applied to a method like simplex and dual simplex methods in linear programming. My question is what is the general meaning behind the term duality and what is its …