Question

Escreva a matriz B, sendo B = (bij)3×4 definida por { 3i - 2j se i = j
i²+2j se i =/ j​​

Answer 1

Explicação passo-a-passo:

B = b11 b12 b13 b14

b21 b22 b23 b24

b31 b32 b33 b34

i= j , b11, b22, b33

bij= 3i - 2j

b11= 3.1-2.1= 3-2= 1

b22= 3.2-2.2= 6-4= 2

b33= 3.3-2.3= 9 -6= 3

bij= i²+2j

b12= 1²+2.2= 1+4= 5

b13= 1²+2.3= 1+6= 7

b14= 1²+2.4= 1+8=9

b21= 2²+2.1= 4+2= 6

b23= 2²+2.3= 4+6= 10

b24= 2²+2.4= 4+8= 12

b31= 3²+2.1= 9 +2= 11

b32= 3²+2.2= 9+4= 13

b34= 3²+2.4= 9+8= 17

B= 1 5 7 9

6 2 10 12

11 13 3 17