Question

Questão 1 - Escreva cada uma das seguintes matrizes :
A) A = ( Aij ) 3x2, em Aij = 4i + 2j
B) A = ( Aij ) 2x3, em Aij = 5i + 3j

Answer 1

a) Aij=4i+2j
a11=4.1+2.1=4+2=6
a12=4.1+2.2=4+4=8
a21=4.2+2.1=8+2=10
a22=4.2+2.2=8+4=12
a31=4.3+2.1=12+2=14
a32=4.3+2.2=12+4=16

$A_{32} = \left[\begin{array}{ccc} a_{11} &a_{12}\\a_{21}&a_{22}\\a_{31}&a_{32}\end{array}\right] = \left[\begin{array}{ccc} 6 &8\\10&12\\14&16\end{array}\right]$

b) Aij=5i+3j
a11=5.1+3.1=5+3=8
a12=5.1+3.2=5+6=11
a13=5.1+3.3=5+9=14
a21=5.2+3.1=10+3=13
a22=5.2+3.2=10+6=16
a23=5.2+3.3=10+9=19

$A_{23} = \left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\end{array}\right] = \left[\begin{array}{ccc}8&11&14\\13&16&19\end{array}\right]$