Find the matrix associated with the following linear transformation: T: R^3 -> R^2 given by T(x,y)^T = (x+y, x-y; 3y)^T , where ^T is transposed. How do I do this?
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Did you mean $\displaystyle T : \mathbb R^2 \mapsto \mathbb R^3$ ? So you need a matrix A that satisfies: $\displaystyle A_{3\times 2}\begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix} x+y\\x-y\\3y \end{bmatrix}$ Does that make things easier?
Originally Posted by scorpion007 Did you mean $\displaystyle T : \mathbb R^2 \mapsto \mathbb R^3$ ? So you need a matrix A that satisfies: $\displaystyle A_{3\times 2}\begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix} x+y\\x-y\\3y \end{bmatrix}$ Does that make things easier? No it is not R^3--> R^2? I attached the file, it's number 4.a Maybe it is a typo?
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