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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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?
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?