Question

Determine a matriz A = (aij)2x3 tal que: a) aij = i + 2 j b) aij = i2 + j c) aij = 2i – j *

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Answer 1

Resposta:

isso me deixa muito confusa, espero que tenha encontrado a resposta

Answer 2

Explicação passo-a-passo:

$A=\left[\begin{array}{ccc}a_{11} &a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\\end{array}\right]$

a)$a_{ij}=i+2j$

$a_{11}=1+2.1=1+2=3\\a_{12}=1+2.2=1+4=5\\a_{13}=1+2.3=1+6=7\\a_{21}=2+2.1=1+2=4\\a_{22}=2+2.2=2+4=6\\a_{23}=2+2.3=2+6=8$

$A=\left[\begin{array}{ccc}3&5&7\\4&6&8\\\end{array}\right]$

b)$a_{ij}=i^{2}+j$

$a_{11}=1^{2} +1=1+1=2\\a_{12}=1^{2} +2=1+2=3\\a_{13}=1^{2} +3=1+3=4\\a_{21}=2^{2} +1=4+1=5\\a_{22}=2^{2} +2=4+2=6\\a_{23}=2^{2} +2=4+3=7$

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

c) $a_{ij} =2i-j$

$a_{11} =2.1-1=2-1=1\\a_{12} =2.1-2=2-2=0\\a_{13} =2.1-3=2-3=-1\\a_{21} =2.2-1=4-1=3\\a_{22} =2.2-2=4-2=2\\a_{23} =2.2-3=4-3=1$

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