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 …

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?

Therefore, the image of A is just the span of the basis vectors after this linear transformation; in this case, span ( (a1, a2), (b1, b2)). This is the reason why we need to get rref of the …

For example, we can stretch a vector by some scalar and then rotate it, or we can rotate the vector and then stretch it. These two operations will produce the same vector, and are an …

Jan 24, 2011 · Linear independency before and after Linear Transformation Ask Question Asked 14 years, 9 months ago Modified 13 years ago

Jan 23, 2016 · By definition, an affine transformation does preserve the other underlying properties of the original linear function, because it is a "parallel" shift That's why it's …

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?

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 …

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 …

Nov 19, 2014 · Finding range of a linear transformation Ask Question Asked 13 years, 2 months ago Modified 6 years, 6 months ago