Question

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

a_ij = i + j

Answer 1

a_ij = i + j

Here,

`a_11= 1+1 = 2 , a_12= 1+2=3 , a_13= 1+3=4 , a_14 = 1+4= 5`

`a_21= 2+1= 3 , a_22 = 2+2 =4 , a_23 = 2+3=5 , a_24= 2+4=6`

`a_31= 3+1=4 , a_32=3+2 = 5, a_33= 3+3 = 6 , a_34 3+4=7`

So, the required matrix is `[[2   3   4   5],[3   4   5   6],[4   5   6   7]]`