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  1. terminology - What does 'linear' mean in Linear Algebra?

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

  2. soft question - Meaning of the word 'linear' in mathematics ...

    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 …

  3. logic - What does it mean for something to be linear?

    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, …

  4. What exactly does linear dependence and linear independence …

    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 …

  5. linear algebra - Bilinearity: what does it mean? - Mathematics …

    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 …

  6. Connection between linear independence, non-/trivial and x …

    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 …

  7. Orthogonality and linear independence - Mathematics Stack …

    Orthogonality and linear independence Ask Question Asked 12 years, 6 months ago Modified 5 years, 1 month ago

  8. Is a linear equation always a straight line?

    Apr 13, 2017 · 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 …

  9. What does linear dependence (among vectors) actually mean …

    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?

  10. What makes a differential equation, linear or non-linear?

    Jul 26, 2015 · Among these differential equations why one is linear while other is non-linear? What is criteria to find out whether a differential equation is linear or non-linear?