Given ai j = i
Let A = [ai j]4×3
So, the elements in a 4 × 3 matrix are
a11, a12, a13, a21, a22, a23, a31, a32, a33, a41, a42, a43
a11 = 1
a12 = 1
a13 = 1
a21 = 2
a22 = 2
a23 = 2
a31 = 3
a32 = 3
a33 = 3
a41 = 4
a42 = 4
a43 = 4
Substituting these values in matrix A we get,
Construct a 4 × 3 matrix A = [ai j] whose elements ai j are given by \( a_{i j} = \dfrac{(i – j)}{(i + j)}\)
Construct a 4 × 3 matrix A = [ai j] whose elements ai j are given by ai j = 2i + \( \dfrac{i}{j}\)