How to prove if something is a linear transformation?
Oct 31, 2015 · The third property you mentioned basically says that linear transformation are the same as matrix transformations. So every linear transformation has a matrix corresponding to …
How do you show whether a transformation is linear or not?
Can you provide an example of a transformation that is not linear? At what point in our algebraic manipulation would we find that it was impossible to arrange the equation in that?
Determining If a Function is a Linear Transformation
Apr 24, 2017 · similar question, might require a new thread. 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 …
Is a linear transformation onto or one-to-one?
Jan 5, 2021 · The definition of one-to-one was pretty straight forward. If the vectors are lin.indep the transformation would be one-to-one. But could it also be onto? The definition of onto was a …
Linear independency before and after Linear Transformation
Jan 24, 2011 · Linear independency before and after Linear Transformation Ask Question Asked 14 years, 10 months ago Modified 13 years, 1 month ago
Finding kernel and range of a linear transformation
May 31, 2015 · Finding kernel and range of a linear transformation Ask Question Asked 10 years, 6 months ago Modified 6 years, 10 months ago
Help understanding the range and kernel of a linear transformation
May 28, 2015 · The range also has structure in the same way (but you expect this because T has structure and T defines the range). Note also that if the kernel of a linear transformation is just …
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 …
Non-Linear Transformation - Mathematics Stack Exchange
Aug 5, 2010 · A transformation which is not linear. Do you understand the definition of a linear transformation? It has nothing to do with whether you are working with one or many variables; …
matrices - example of non linear matrix transformation
May 28, 2014 · Could you give me an example of non linear transformation matrix? What is the difference between linear and non linear transformation matrix?