Answer :

We are given that aij is given as


We need to construct a 2 × 2 matrix A defined as A = [aij].


Since, this is a 2 × 2 matrix where A = [aij], we know


Number of rows = 2


Number of columns = 2


, i = 1, 2


& j = 1, 2


First, put i = 1 and j = 1 in aij, here i = j.


For i = j,


aij = (i + j)2


So,


a11 = (1 + 1)2


a11 = 22


a �11 = 4


Put i = 1 and j = 2 in aij, here i ≠ j.


For i ≠ j,



So,






Put i = 2 and j = 1 in aij, here i ≠ j.


For i ≠ j,



So,






Put i = 2 and j = 2 in aij, here i = j.


For i = j,


aij = (i + j)2


So,


a22 = (2 + 2)2


a22 = 42


a22 = 16


Thus, we get



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