Answer:
Option B
Explanation:
We have , aij=xj+yi
A=(ai)nxn
A=[x+y2x+y3x+y.....nx+yx+2y2x+2y3x+2y......nx+2yx+3y............x+ny.......nx+ny]n×n
A=[123......n123.....n1............123.....n]+y[111.....12....23.......3n....n]
A=xP+yQ
where
P=[123n123n12.........123n]andQ[111....1222....23.......3....n..n...n]
∴ (P+Q) is symmetric and (P-Q) is skew symmetric