Question

Construct a 2 × 2 matrix, A = [a_ij], whose elements are given by:

`a_(ij) = i/j`

Answer 1

A 2 × 2 matrix has 2 rows and 2 columns.

So, it is given by

A = `[a_(ij)]_(2 × 2) = [(a_(11), a_(12)),(a_(21),a_22)]`

For `a_(ij) = i/j`, we have

`a_(11) = 1/1 = 1` 

`a_(12) = 1/2`

`a_(21) = 2/1` = 2

`a_(22) = 2/2` = 1

∴ A = `[(1, 1/2), (2,1)]`