Construct a 3×4 matrix A = [ajj] whose elements ajj are given by :

ajj = i + j

Let A = [aij]2×3

So, the elements in a 3×4 matrix are


a11, a12, a13, a14, a21, a22, a23,a24,a31,a32,a33,a34


A = ……(1)


a11 = 1 + 1 = 2 a12 = 1 + 2 = 3 a13 = 1 + 3 = 4 a14 = 1 + 4 = 5


a21 = 2 + 1 = 3 a22 = 2 + 2 = 4 a23 = 2 + 3 = 5 a24 = 2 + 4 = 6


a31 = 3 + 1 = 4 a32 = 3 + 2 = 5 a33 = 3 + 3 = 6 a34 = 3 + 4 = 7


So, from (1)


A =


6