# Numerical Analysis/Matrix norm exercises

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Consider the general ${\displaystyle 3\times 3}$ matrix ${\displaystyle A={\begin{bmatrix}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\\\end{bmatrix}}}$ and the specific example ${\displaystyle B={\begin{bmatrix}1&2&3\\4&5&6\\7&8&9\\\end{bmatrix}}}$.

Find ${\displaystyle \left\|A\right\|_{1}}$

Find ${\displaystyle \left\|B\right\|_{1}}$

Find the infinite norm, ${\displaystyle \left\|A\right\|_{\infty }}$

Find the infinite norm, ${\displaystyle \left\|B\right\|_{\infty }}$

Find the Frobenius norm, ${\displaystyle \left\|A\right\|_{F}}$

Find the Frobenius norm, ${\displaystyle \left\|B\right\|_{F}}$