For a 2 × 2 matrix A = [aij] whose elements are given by aij =\(\frac

1.	For a 2 × 2 matrix A = [aij] whose elements are given by aij =\(\frac{i}{j}\), write the value of a12.
Answer» We are given with, A matrix of order 2 × 2, A = [a_ij]. a_ij= \(\frac{i}{j}\) We need to find the value of a₁₂. Here, If A is of the order 2 × 2 then, Number of rows of A = 2 Number of columns of A = 2 We can easily find the elements using the representation of element, . Compare a_ijwith a₁₂. We get, i = 1 j = 2 Putting these values in a_ij= \(\frac{i}{j}\), a₁₂ = \(\frac{1}{2}\) Thus, The value of a₁₂ = \(\frac{1}{2}\).

For a 2 × 2 matrix A = [aij] whose elements are given by aij =\(\frac{i}{j}\), write the value of a12.

Answer»

We are given with,

A matrix of order 2 × 2,

A = [a_ij].

a_ij= \(\frac{i}{j}\)

We need to find the value of a₁₂.

Here,

If A is of the order 2 × 2 then,

Number of rows of A = 2

Number of columns of A = 2

We can easily find the elements using the representation of element, .

Compare a_ijwith a₁₂.

We get,

i = 1

j = 2

Putting these values in a_ij= \(\frac{i}{j}\),

a₁₂ = \(\frac{1}{2}\)

Thus,

The value of a₁₂ = \(\frac{1}{2}\).

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For a 2 × 2 matrix A = [aij] whose elements are given by aij =\(\frac{i}{j}\), write the value of a12.

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