If A =-341231145 then show A+AT is symmetric matrix and A-AT is skewsymmetric matrix - Maths - Matrices

Question

I f   A   = - 3 4 1 2 3 1 1 4 5   t h e n   s h
o w   A + A T   i s   s y m m e t r i c   m a t
r i x   a n d     A - A T   i s   s k e w
s y m m e t r i c   m a t r i x

Rambaboo Khatana · Accepted Answer

I f A = - 3 4 1 2 3 1 1 4 5 t h e n s h o w A + A T i s s y m m e t r i c m a t r i x a n d A - A T i s s k e w s y m m e t r i c m a t r i x .

$I f A = (\begin{matrix} - 3 & 4 & 1 \\ 2 & 3 & 1 \\ 1 & 4 & 5 \end{matrix}) t h e n s h o w A + A^{T} i s s y m m e t r i c m a t r i x a n d A - A^{T} i s s k e w s y m m e t r i c m a t r i x .$