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Question
Construct a 2 × 2 matrix, `A= [a_(ij)]`, whose elements are given by `a_(ij) = i/j`
Solution
In general, a 2 × 2 matrix is given by A = `[(a_(11), a_(12)),(a_(21), a_(22))]`
`a_ij = i/j`, i , j = 1, 2
`:. a_(11) = 1/1 = 1`
`a_(12) = 1/2`
`a_(21) = 2/1 = 2`
`a_(22) = 2/2 = 1`
Therefore, the required matrix is A = `[(1, 1/2), (2,1)]`
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