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Math Help - MATLAB - matrice help needed

  1. #1
    Member
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    MATLAB - matrice help needed

    Matrix M = A= \begin{bmatrix}<br />
1 && 3 \\<br />
-2 && 4 \\<br />
\end{bmatrix} represents a linear transformation T: R^{2} -> R^{2}.
    Let u = \begin{bmatrix}<br />
1 \\<br />
-1 \\<br />
\end{bmatrix} and v = \begin{bmatrix}<br />
-2 \\<br />
1 \\<br />
\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) = \begin{bmatrix}<br />
-2 \\<br />
-6 \\<br />
\end{bmatrix} (correct?) but what commands do I use in Matlab to get this?
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  2. #2
    Grand Panjandrum
    Joined
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    someplace
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    Quote Originally Posted by Dr Zoidburg View Post
    Matrix M = A= \begin{bmatrix}<br />
1 && 3 \\<br />
-2 && 4 \\<br />
\end{bmatrix} represents a linear transformation T: R^{2} -> R^{2}.
    Let u = \begin{bmatrix}<br />
1 \\<br />
-1 \\<br />
\end{bmatrix} and v = \begin{bmatrix}<br />
-2 \\<br />
1 \\<br />
\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) = \begin{bmatrix}<br />
-2 \\<br />
-6 \\<br />
\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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