How to prove if something is a linear transformation?
2015年10月31日 · $\begingroup$ The final part of your answer is slightly confusingly worded. It would be more correct to say that the linear transformation can be represented by different …
what is the difference between linear transformation and affine ...
Recently, I am struglling with the difference between linear transformation and affine transformation. Are they the same ? I found an interesting question on the difference between …
Determining If a Function is a Linear Transformation
2017年4月24日 · Let's say a function is a linear transformation, your inputs don't disprove it and you cant find any that do so. I'm assuming an example of inputs proving it is a LT in their case, …
matrices - The rank of a linear transformation/matrix
2021年3月12日 · First: linear transformation vs. matrix. Matrices. A matrix is a rectangular array, in the context of linear algebra the entries are always elements of the ground field (in your …
Finding range of a linear transformation - Mathematics Stack …
Find the linear transformation from kernel and range. 1. Kernel, Range, and Matrix Representation of a ...
What is a Linear Transformation? - Mathematics Stack Exchange
2023年2月13日 · Linear Transformation is a term used often in physics. For example, we are told here that a tensor is a generalization of a linear transformation.
What is the difference between linear transformation and linear ...
This is a linear transformation. The operator defining this transformation is an angle rotation. Consider a dilation of a vector by some factor. That is also a linear transformation. The …
Linear transformation surjective and/ or injective?
2019年1月1日 · $\begingroup$ Thank you for your answer! Just want to check that I got this right, because the answer it leads to is the opposite of what I had originally thought: according to the …
matrices - Find the standard matrix for a linear transformation ...
(After each step you have in each row a vector and its image. This is because of linearity.) If you manage to obtain the identity matrix on the left, then you know the images of the vectors from …
Linear independency before and after Linear Transformation
$\begingroup$ The only set whose linear independence is preserved under all linear transformations is the empty set. $\endgroup$ – Jonas Meyer Commented Jan 24, 2011 at 2:18