4.    Construct a 2 × 2 matrix, A = [a_{ij} ], whose elements are given by:

        (ii) a_{ij} = \frac{i}{j}

Answers (1)

A  2 × 2 matrix, A = [a_{ij} ]

 (ii) a_{ij} = \frac{i}{j}

      a_1_1 = \frac{1}{1}=1                               a_2_2 = \frac{2}{2}=1

      a_1_2 = \frac{1}{2}                                       a_2_1 = \frac{2}{1}=2

 

Hence, the matrix is

    A = \begin{bmatrix} 1& \frac{1}{2} \\ 2 & 1 \end{bmatrix}

 

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