Question

dadas as matrizes:

A= [1 2 -3] e B= [1 3 4]
[4 5 6] [-2 0 -3]

Determine:

a) A-B =

b) 2A-3B =

Answer 1

Olá!

Dada a matriz A sendo: $\left[\begin{array} {ccc}1&2&-3\\4&5&6\\\end{array}\right]$ e a matriz B sendo: $\left[\begin{array}{ccc}1&3&4\\-2&0&-3\\\end{array}\right]$

A)(A-B)=

$\left[\begin{array}{ccc}1&2&-3\\4&5&6\\\end{array}\right] -\left[\begin{array}{ccc}1&3&4\\-2&0&-3\\\end{array}\right] =\left[\begin{array}{ccc}0&-1&-7\\6&5&9\\\end{array}\right]$

B)2A-3B=

$2\left[\begin{array}{ccc}1&2&-3\\4&5&6\\\end{array}\right] -3\left[\begin{array}{ccc}1&3&4\\-2&0&-3\\\end{array}\right] =\\  \left[\begin{array}{ccc}2&4&-6\\8&10&12\\\end{array}\right] -\left[\begin{array}{ccc}3&9&12\\-6&0&-9\\\end{array}\right] =\left[\begin{array}{ccc}-1&-5&-18\\14&10&21\end{array}\right]$

Espero ter ajudado!