Question

Sendo as matrizes A=(aij) e B = (bij), quadradas de ordem 2, com aij = i2 - j2 e b = i2 + j2 valor
de A-B é:

a) [ -2 -8 ]
-2 -8

b) [ 0 -3
3 0

c) [ 2 5
5 8

d) [ 0 -3
5 8​

Answer 1

A matriz  $C = (c_{i,j})_{2\times 2}$ dada por $C = A-B$ é igual a :

$C = A-B$

$C = \left[\begin{array}{cc}c_{1,1}&c_{1,2}\\c_{2,1}&c_{2,2}\end{array}\right]$

$C = \left[\begin{array}{cc}-2\cdot(1)^2&-2\cdot(2)^2\\-2\cdot(1)^2&-2\cdot(2)^2\end{array}\right]$

$C = \left[\begin{array}{cc}-2&-8\\-2&-8\end{array}\right]$

Letra A)