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Question
Construct a 2 × 3 matrix whose elements aij are given by :
(iv) aij =`(i+j)^2/2`
Sum
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Solution
Here,
`a_ij`=`(i+j)^2/2`
`a_11=(1+1)^2/2=(2)^2/2=4/2=2, a_12=(1+2)^2/2=(3)2/2=9/2, a_13=(1+3)^2/2=(4)^2/2=16/2=8`
`a_21=(2+1)^2/2=(3)^2/2=9/2,a_22=(2+2)^2/2=(4)^2/2=16/2 =8 and a_23=(2+3)^2/2=(5)^2/2=25/2`
Required matrix = A = `[[2 9/2 8],[9/2 8 25/2] ]`
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