Question

construct a 2×2 matrix if aij=½|-3i+j|​

Answer 1

$a_{ij} = \frac{1}{2}*|-3i+j|$

We need to form a matrix of order 2.

The general form of a 2 by 2 matrix is

$\left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\\\end{array}\right]$

Substitute corresponding values fof i and j to determine each term

$a_{11} = \frac{1}{2}*|-3*1+1|=1$

$a_{12} = \frac{1}{2}*|-3*1+2|=\frac{1}{2}$

$a_{21} = \frac{1}{2}*|-3*2+1|=\frac{5}{2}$

$a_{22} = \frac{1}{2}*|-3*2+2|=2$

So the required matrix is

$\left[\begin{array}{ccc}1&&\frac{1}{2} \\\\\frac{5}{2} &&2\end{array}\right]$