Question

4) Dada a matriz A =


temos A.At é a matriz:
​

Answer 1

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$\rm A=\begin{pmatrix}\sf-1&\sf0\\\sf1&\sf2\end{pmatrix}\\\rm A^T=\begin{pmatrix}\sf-1&\sf1\\\sf0&\sf2\end{pmatrix}\\\rm A\cdot A^T=\begin{pmatrix}\sf-1&\sf0\\\sf1&\sf2\end{pmatrix}\cdot\begin{pmatrix}\sf-1&\sf1\\\sf0&\sf2\end{pmatrix}\\\rm A\cdot A^T=\begin{pmatrix}\sf-1\cdot(-1)+0\cdot0&\sf-1\cdot1+0\cdot2\\\sf1\cdot(-1)+2\cdot0&\sf1\cdot1+2\cdot2\end{pmatrix}$

$\rm A\cdot A^T=\begin{pmatrix}\sf1&\sf-1\\\sf-1&\sf5\end{pmatrix}$