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  1. #1
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    Question isomorphism

    Construct an isomorphism from the vector space of symmetric 2 x 2 matrices onto R^3
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by lm6485 View Post
    Construct an isomorphism from the vector space of symmetric 2 x 2 matrices onto R^3
    Let L:M_{22}\rightarrow\mathbb{R}^3 s.t. L\!\left(\begin{bmatrix}a & b \\ b & c\end{bmatrix}\right)=\begin{bmatrix}a \\ b \\ c\end{bmatrix} where a,b,c\in\mathbb{R}.

    I leave it for you to show that this is indeed an isomorphism.
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