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Question
Construct a 4 × 3 matrix whose elements are
`a_(ij)=2_i+ i/j`
Solution
`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]]`
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