Question

If A = [aij] is a 2 × 3 matrix, such that aij = (-i+2j)2 /5, then a23 is

Answer 1

Solution:-

In general 2 × 3 matrix is given by

2 × 3 its means 2 row and 3 column

$A = \left [ \begin{array}{ccc} a_{11} \: \: a_{12} \: \: a_{13} \\ \\ a_{21} \: \: a_{22} \: \: \: a_{23} \end{array} \right ]$

$\rm \: a_{ij} = \frac{( - i + 2j)2}{5}$

We have find

$\rm \: a_{23}$

So value of i and j is given , so put the value

$\rm \: a_{23} = \frac{( - 2+ 2 \times 3)2}{5}$

$\rm \: a_{23} = \frac{( - 2+ 6)2}{5}$

$\rm \: a_{23} = \frac{( 4)2}{5}$

$\rm \: a_{23} = \frac{8}{5}$

Answer:-

$\rm \: a_{23} = \frac{8}{5}$