Question

Calcule o produto A . B em cada item abaixo.

Answer 1

Explicação passo-a-passo:

a)

$A.B=\left[\begin{array}{ccc}2&1\\3&6\\\end{array}\right] .\left[\begin{array}{ccc}4&5\\0&2\\\end{array}\right] \\\\A.B=\left[\begin{array}{ccc}2.4+1.0&2.5+1.2\\3.4+6.0&3.5+6.2\\\end{array}\right] \\\\A.B=\left[\begin{array}{ccc}8&12\\12&27\\\end{array}\right]$

b)

$A.B=\left[\begin{array}{ccc}1&1&6\\0&2&3\\\end{array}\right] .\left[\begin{array}{ccc}3&4\\4&0\\1&5\end{array}\right] \\\\A.B=\left[\begin{array}{ccc}1.3+1.4+6.1&1.4+1.0+6.5\\0.3+2.4+3.1&0.4+2.0+3.5\\\end{array}\right] \\\\A.B=\left[\begin{array}{ccc}13&34\\11&15\\\end{array}\right]$