Question

dados as matrizes A=(3 7 10) B=(-1 -3 -5) determine 2.at + 3.bt

Answer 1

Bom...

Pelo que entendi:

$A = \left[\begin{array}{ccc}3&7&10\\\end{array}\right]$

$B = \left[\begin{array}{ccc}-1&-3&-5\\\end{array}\right]$

A questão quer o resultado de $2. A^{t} + 3. B^{t}$, onde $A^{t}$ e $B^{t}$ são matrizes transpostas.

$A^{t} = \left[\begin{array}{ccc}3\\7\\10\end{array}\right]$

$B^{t} = \left[\begin{array}{ccc}-1\\-3\\-5\end{array}\right]$

$2. \left[\begin{array}{ccc}3\\7\\10\end{array}\right] + 3. \left[\begin{array}{ccc}-1\\-3\\-5\end{array}\right]$

$\left[\begin{array}{ccc}6\\14\\20\end{array}\right] + \left[\begin{array}{ccc}-3\\-9\\-15\end{array}\right] = \left[\begin{array}{ccc}3\\5\\5\end{array}\right]$

Resposta ⇒ $\left[\begin{array}{ccc}3\\5\\5\end{array}\right]$

Espero ter ajudado!

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