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Math Help - Linear Transformations

  1. #1
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    Linear Transformations

    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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  2. #2
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    Did you mean T : \mathbb R^2 \mapsto \mathbb R^3 ?

    So you need a matrix A that satisfies:

    A_{3\times 2}\begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix} x+y\\x-y\\3y \end{bmatrix}

    Does that make things easier?
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  3. #3
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    Quote Originally Posted by scorpion007 View Post
    Did you mean T : \mathbb R^2 \mapsto \mathbb R^3 ?

    So you need a matrix A that satisfies:

    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?
    Attached Files Attached Files
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