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Thread: MATLAB - matrice help needed

  1. #1
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    MATLAB - matrice help needed

    Matrix M = A=$\displaystyle \begin{bmatrix}
    1 && 3 \\
    -2 && 4 \\
    \end{bmatrix}$ represents a linear transformation T: $\displaystyle R^{2}$ -> $\displaystyle R^{2}$.
    Let u = $\displaystyle \begin{bmatrix}
    1 \\
    -1 \\
    \end{bmatrix}$ and v = $\displaystyle \begin{bmatrix}
    -2 \\
    1 \\
    \end{bmatrix}$
    (a) Find T(u) and T(v)
    (b) Show that T (u + v) = T (u) + T (v).

    I'm pretty hopeless at Matlab. I can work these out by hand: eg T(u) = $\displaystyle \begin{bmatrix}
    -2 \\
    -6 \\
    \end{bmatrix}$ (correct?) but what commands do I use in Matlab to get this?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Dr Zoidburg View Post
    Matrix M = A=$\displaystyle \begin{bmatrix}
    1 && 3 \\
    -2 && 4 \\
    \end{bmatrix}$ represents a linear transformation T: $\displaystyle R^{2}$ -> $\displaystyle R^{2}$.
    Let u = $\displaystyle \begin{bmatrix}
    1 \\
    -1 \\
    \end{bmatrix}$ and v = $\displaystyle \begin{bmatrix}
    -2 \\
    1 \\
    \end{bmatrix}$
    (a) Find T(u) and T(v)
    (b) Show that T (u + v) = T (u) + T (v).

    I'm pretty hopeless at Matlab. I can work these out by hand: eg T(u) = $\displaystyle \begin{bmatrix}
    -2 \\
    -6 \\
    \end{bmatrix}$ (correct?) but what commands do I use in Matlab to get this?
    A*u and A*v

    The default product type for Matlab is matrix product so just multiply them.

    RonL
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