Question

Considere as seguintes matrizes?


A= (aij)2x3, definida por aij=i+j


B=(bij)2x3, definida por bij=i-j



Determine o elemento C23 da matriz C=A+B

Answer 1

A = (aij) 2x3, com aij = i + j
B = (bij) 2x3, com bij = i - j

A = [a11 a12 a13] => A = [2 3 4] . [a21 a22 a23] [3 4 5]

a11 = i + j = 1 + 1 = 2
a12 = i + j = 1 + 2 = 3
a13 = i + j = 1 + 3 = 4
a21 = i + j = 2 + 1 = 3
a22 = i + j = 2 + 2 = 4
a23 = i + j = 2 + 3 = 5

B = [b11 b12 b13] => B = [0 -1 -2] . [b21 b22 b23] [1 0 -1]

b11 = i – j = 1 – 1 = 0
b12 = i – j = 1 – 2 = - 1
b13 = i – j = 1 – 3 = - 2
b21 = i – j = 2 – 1 = 1
b22 = i – j = 2 – 2 = 0
b23 = i – j = 2 – 3 = - 1

A+B = [2+0 3–1 4-2] => [2 2 2] . [3+1 4+0 5-1] [4 4 4]

A + B = C
C = [c11 c12 c13] => C = [2 2 2] . [c21 c22 c23] [4 4 4]

*c23 = 4

Resposta: c23 = 4
Esperoter ajudado;