Prove that for any skew symmetric matrix of order n, |A-lemda I| = (-1)^n |A+ lemda I. i.e.if lemda is one eigen value, -lemda is also another eigen value

Prove that for any skew symmetric matrix of order n, |A-lemda I| = (-1)^n |A+ lemda I. i.e.if lemda is one eigen value, -lemda is also another eigen value

Prove that for any skew symmetric matrix of order n, |A-lemda I| = (-1)^n |A+ lemda I. i.e.if lemda. 1 answer below »

Prove that for any skew symmetric matrix of order n, |A-lemda I| = (-1)^n |A+ lemda I. i.e.if lemda is one eigen value, -lemda is also another eigen value