Question

Construct a 2X2 matrix, A={$a_{ij}$}, whose elements are given by:

$a_{ij}$=$\frac{(i+j)^{2} }{2}$

Answer 1

Answer:

Entries of matrix are below

$a_{11} = \frac{ {(1 + 1)}^{2} }{2} = 2 \\\\ a_{12} = \frac{ {(1 + 2)}^{2} }{2} = \frac{9}{2} \\ \\ a_{21} = \frac{ {(2 + 1)}^{2} }{2} = \frac{9}{2} \\\\ a_{22} = \frac{ {(2 + 2)}^{2} }{2} = 8$