
linear algebra - Physical meaning of the null space of a matrix ...
Feb 9, 2011 · The null space are all the investments that can be made that wouldn't change the rate of return at all. Another example: room illumination. The range of A represents the area of the room that …
如何理解矩阵里面的“Range Space”和“Nullspace”概念? - 知乎
Jan 1, 2021 · 如何理解矩阵里面的“Range Space”和“Nullspace”概念? 能否举例说明? 显示全部 关注者 9
Finding null space of matrix. - Mathematics Stack Exchange
Finding null space of matrix. Ask Question Asked 8 years, 10 months ago Modified 5 years, 4 months ago
Finding the basis of a null space - Mathematics Stack Exchange
If it helps to explain, I already understand the process of finding the basis of a column space and row space. I also understand why elementary row operations do not alter the null space of a matrix. What …
What is the use of Null Space? - Mathematics Stack Exchange
Apr 29, 2018 · This answer explains what is null space very effectively. In brief Null Space is the set of vectors which have 0 effect on the system when applied. So, what is the use of finding null-space? Is …
linear algebra - What is the relationship between the null space and ...
The null space is usually defined for a linear function, not for a set of vectors. You can, nonetheless, put those vectors together and make up a linear function.
How is the null space related to singular value decomposition?
The conclusion is that the full SVD provides an orthonormal span for not only the two null spaces, but also both range spaces. Example Since there is some misunderstanding in the original question, let's …
linear algebra - What is the significance of the null space ...
Sep 14, 2019 · In one of 3Blue1Brown's videos on linear algebra, he states that when a space such as a 2d plane is mapped to a line, a line of vectors in the plane is squished to a point, such as in his …
Dimension of nullspace - Mathematics Stack Exchange
Nov 28, 2016 · I can understand the dimension of column space of matrix is the no. of independent column vectors But why is the dimension of nullspace = no. of free variables?
线性代数的一些名词概念很模糊? - 知乎
所有满足条件的解构成一个space,这个space叫做null space of A,也叫做kernel (A)或者ker (A)。 也可以从linear mapping角度来解释:假设一个linear mapping A将一个domain map到一个image上,那 …