Question

Dadas as matrizes A=(2 3 5 1 ) e B=( 3 1 2 1 ), determinem a) A2, em que A2=AA?

Answer 1

Oi

a) A²=a×a

$\left[\begin{array}{ccc}2&3\\5&1\\\end{array}\right]$×$\left[\begin{array}{ccc}2&3\\5&1\\\end{array}\right]$ =

$\left[\begin{array}{ccc}2.2+3.5&2.3+3.1\\5.2+1.5&5.3+1.1\\\end{array}\right]$=$\left[\begin{array}{ccc}4+15&6+3\\10+5&15+1\\\end{array}\right] = \left[\begin{array}{ccc}19&&9\\15&&16\\\end{array}\right]$