Question

Dadas as matrizes A = ( 1 2 3) e B = ( -2 0 1) , podemos afirmar que a matriz 2A + 3B é igual a :

Answer 1

2x(1,2,3) = (2,4,6) e 3x(-2,0,1) = (-6,0,3) (2,4,6)+(-6,0,3) = (-4,4,9)

Answer 2

2A+3B = 2.$\left[\begin{array}{ccc}1&2&3\\\\\end{array}\right]$ + 3.$\left[\begin{array}{ccc}-2&0&1\\\\\end{array}\right]$

2A+3B = $\left[\begin{array}{ccc}2.1&2.2&2.3\\\\\end{array}\right]$ + $\left[\begin{array}{ccc}-2.3&0.3&1.3\\\\\end{array}\right]$

2A+3B = $\left[\begin{array}{ccc}2&4&6\\\\\end{array}\right]$ + $\left[\begin{array}{ccc}-6&0&3\\\\\end{array}\right]$

2A+3B = $\left[\begin{array}{ccc}2-6&4+0&6+3\\\\\end{array}\right]$

2A+3B = $\left[\begin{array}{ccc}-4&4&9\\\\\end{array}\right]$