Question

ASSUNTO: MATRIZ

URGENTE

Answer 1

A)

$H=\left[\begin{array}{ccc}1&2\\3&8\end{array}\right]\Rightarrow H^2 \Rightarrow H.H \Rightarrow\left[\begin{array}{ccc}1&2\\3&8\end{array}\right].\left[\begin{array}{ccc}1&2\\3&8\end{array}\right]\\ \\ H^2=\left[\begin{array}{ccc}1.1+2.3&2.1+2.8\\3.1+8.3&3.2+8.8\end{array}\right]=\left[\begin{array}{ccc}7&18\\27&70\end{array}\right]$

B)

$H.2\Rightarrow \left[\begin{array}{ccc}1&2\\3&8\end{array}\right] \Rightarrow \left[\begin{array}{ccc}1.2&2.2\\3.2&8.2\end{array}\right] \Rightarrow \left[\begin{array}{ccc}2&4\\6&16\end{array}\right]$

C)

$H.5\Rightarrow \left[\begin{array}{ccc}1&2\\3&8\end{array}\right] \Rightarrow \left[\begin{array}{ccc}1.5&2.5\\3.5&8.5\end{array}\right] \Rightarrow \left[\begin{array}{ccc}5&10\\15&40\end{array}\right]$