Question

Construct a 4 × 3 matrix whose elements are

`a_(ij)=2_i+ i/j`

Answer 1

`a_(ij)=2_i+ i/j`

Here, 

`a_11=2(1)+1/1= (2+1)/1=3/1=3, `

`a_12 = 2(1)+ 2/1=(4+1)/2=5/2,`

`a_13=2(1)+1/3=(6+1)/3=7/3`

`a_21=2(2)+2/1=(4+2)/1=6/1=6`

`a_22=2(2)+2/2=(8+2)/2=10/2=5,`

`a_23=2(2)+2/3=(12+2)/3=14/3`

`a_31=2(3)+3/1=(6+3)/1=9/1=9`

`a_32=2(3)+3/2=(12+3)/2=15/2`

`a_33=2(3)+3/3=(18+3)/3=21/3=7`

`a_41=2(4)+4/1=(8+4)/1=12/1=12`

`a_42=2(4)+4/2= (16+4)/2=20/2=10 and `

`a_43=2(4)+ 4/3=(24+4)/3=28/3`

So, the required matrix is`[[3    5/2    7/13],[6     5   14/3],[9   15/2  7],[12    10     28/3]]`