Question

Escreva a matriz diagonal 4ordem tal que os elementos diferentes de zero satisfacan a seguinte confiacao aij=i-3j

Answer 1

$\left[\begin{array}{cccc}a _{11} &a _{12} {} &a _{13} &a _{14} \\a _{21} &a _{22} {} &a _{23} &a _{24} \\a _{31} &a _{32} {} &a _{33} &a _{34} \\a _{41} &a _{42} {} &a _{43} &a _{44} \end{array}\right]$

aij=i-3j
$a _{11}$= 1 - 3. 1= 1 -3 =-2
$a _{12}=$ = 1-3.2 = -5
$a _{13}$= 1-3.3 = 1-9 =-8
$a _{14}$ = 1-3.4 = -11

$a _{21}$= 2 - 3. 1= 2 -3 =-1
$a _{22}=$ = 2-3.2 = -4
$a _{23}$= 2-3.3 = 2-9 =-7
$a _{24}$ = 2-3.4 = -10


$a _{31}$= 3 - 3. 1= 3 -3 =0
$a _{32}=$ = 3-3.2 = -3
$a _{33}$= 3-3.3 = 3-9 =-6
$a _{34}$ = 3-3.4 = -9


$a _{41}$= 4 - 3.1= 4 -3 =1
$a _{42}=$ = 4-3.2 = -2
$a _{43}$= 4-3.3 = 4-9 =-5
$a _{44$= 4-3.4= 4-12=-8

Agora é só você inserir os valores na tabela :
$[tex] \left[\begin{array}{cccc}a _{11} &a _{12} {} &a _{13} &a _{14} \\a _{21} &a _{22} {} &a _{23} &a _{24} \\a _{31} &a _{32} {} &a _{33} &a _{34} \\a _{41} &a _{42} {} &a _{43} &a _{44} \end{array}\right]$[/tex]