# transformation

1. ### Numbers transformation problem

Hello, I can't figure out the answer to this exercise. It says: 190 -> 42 180 -> 37 160 -> 24 140 -> 16 122 -> 10 154 -> ? Thank you for your help.
2. ### Solve for x in T(x) = Ax in linear transformation

When solving for x as given in question (photo attached), I can't seem to get the right x. I solve for x using row reduction with augumented matrix 1 -4 4 |-4 0 1 -4 |-1 2 -9 8 |-3 and I get x = (4,3,1) which is wrong, with the error message that I'm solving wrongly. Using graphic...
3. ### Transformation matrix of permutation

I need help with the following: Let \sigma \in S_n be a permutation of numbers 1, \dots, n and f:K^n \rightarrow K^n, \begin{pmatrix} x^1 \\ \vdots \\ x^n \end{pmatrix} \mapsto \begin{pmatrix} x^{\sigma(1)} \\ \vdots \\ x^{\sigma(n)} \end{pmatrix} a linear mapping. (i) Calculate the linear...
4. ### Eigenvectors and Eigenvalues in relation to a double transformation

Hi guys, I have the following question: I have been thinking about this for a while now, but I simply cannot work it out... Let V be a linear space of n dimensions over R, and let S,T:V->V be linear transformations. True or False? 1. If v is an eigenvector of S and of T, then v is...
5. ### Transformation of Equations - What is the deeper thing?

Hi, If you have an ordinary differential equation (or equations), you can transform them under some conditions (integral, linear operator, ...) to algebraic equations. If you have a partial differential equation you may transform it to an ODE. This can be shown "easily" by doing Fourier...
6. ### Geometric representation of matrix transformation

I want to sketch the 2-vector \textbf{u}=\left( \begin{array}{c} 2\\ 3 \end{array} \right) and its image under the matrix transformation f: R^2\rightarrow R^3 defined by f(u)=\left( \begin{array}{cc} 1 & 0\\ 1 & -1\\ 0 & 1 \end{array} \right)\textbf{u}. Can I sketch both of \textbf{u} and...
7. ### 2 Transformation Questions: Further Complex Numbers

I need help with a couple of questions which can be found in Edexcel's AS and A Level Modular Mathematics FP2. Here it goes... 16. A transformation from the z-plane to the w-plane is defined by: w=\frac { az+b }{ z+c } , where a, b and c are elements of real numbers. Given that w=1 when...
8. ### Finding transformation matrix for similar matrices

I scouted through online but I am unable to find any comprehensive explanation of finding the transformation matrix T A and B are n x n matrices. A and B are 'similar' matrices. Here is the definition of similar matrices B = T^{-1} A T Find T.

17. ### Linear transformation help!!!

Hi, could someone tell me if I did (b) correctly?? I'm not too sure.. Have exam tmr. Thanks!!
18. ### SKetch graph of transformation -f(x+2)-4

Can anyone please help me with this before I lose my mind?! I did the second graph and think I am correct on that part? But I am really lost on the vertical stretching/shrinking.
19. ### Girsanov transformation in the Black-Scholes Model

Hello, I would like to use the Girsanov transformation in the Black-Scholes model with infinite time horizon in order to find an equivalent martingale measure. The problem is not the Girsanov transformation itself but the existence of the probability measure. Here is a more detailed...
20. ### How to do this image transformation?

I have an image with a colorized blob that has fuzzy edges (on top), and I want to create an outline for it made of straight lines (bottom): http://i.imgur.com/cJq0uui.jpg. I don't really need to fill it, just adding outlines will do. Can be turned into a black & white image. Can anyone...