What is the difference between a kernel and a function?
May 16, 2020 · "Kernel" is an old-fashioned term for the function you use to define certain integral operators. (I assume this is the sense you mean, not the more common modern sense, which …
Word origin / meaning of 'kernel' in linear algebra
According to Jeff Miller's Earliest Known Uses of Some of the Words of Mathematics, the term kernel was first used in this meaning by Pontryagin (in translation by Lehmer) in the slightly …
soft question - Why is kernel important in linear algebra ...
Apr 18, 2025 · Why are we interested in looking at the kernel and range (image) of a linear transformation on a linear algebra course?
I am confused about the kernel of a matrix and the "kernel"
Mar 2, 2016 · In linear algebra, the kernel of a matrix is its null space. In machine learning and statistics, there are a bunch of matrices are called "kernel". For example, I am totally confused. …
What is the difference between kernel and null space?
The terminology "kernel" and "nullspace" refer to the same concept, in the context of vector spaces and linear transformations. It is more common in the literature to use the word …
What do I use to find the image and kernel of a given matrix?
The kernel is the set of all points in $\mathbb {R}^5$ such that, multiplying this matrix with them gives the zero vector. Again you can find this in a similar way.
What is the purpose of finding the kernel of a matrix
Mar 4, 2015 · Finding the kernel of a matrix is equivalent to solving a homogeneous system of linear equations. Surely you have a linear algebra book with applications of solving systems of …
numerical methods - Why are these functions called "kernels ...
May 14, 2015 · The usage of the word "kernel" in that context and in linear algebra appear to be coincidental. The use of kernel in algebra appears to be unrelated to its use in integral …
abstract algebra - What exactly is a cokernel? What's the …
Apr 18, 2021 · One trivial motivation for the notion of kernel is that morphism is injective if its kernel is trivial. Similarly, a morphism is surjective if its cokernel is trivial.
Functor preserves kernels iff it's left exact
Aug 23, 2015 · Conversely, if it preserves kernels, then the left arrow will be a mono and then the kernel of [Math Processing Error] p will be preserved, but i i is a mono (so it's image is …