If Aij is a square matrix such that aij = i2 - j2 then write whether A is a symmetric - Maths - Three Dimensional Geometry

Question

If Aij is a square matrix such that aij =
i2 - j2 then write whether A is a symmetric
or skew symmetric

Ajanta Trivedi · Accepted Answer

it is given that: aij=i2-j2
thereforeaji=j2-i2=-(i2-j2)⇒aji=-aij

thus the matrix is a skew symmetric matrix

hope this helps you

If Aij is a square matrix such that aij = i2 - j2 then write whether A is a symmetric or skew symmetric.