Member • Sep 3, 2012

## Need Help: New kind of Matrix formula?

**Problem: Express the matrix [] as a sum of symmetric and skew symmetric matrices.**

Okay, as far as I know, symmetric matrix remains the same even if we transpose it.

And the skew symmetric matrix is the same as it's -1 x the transpose of itself.

How do I suppose to solve this?

here [] =

| 2 -4 9 |

| 14 7 13 |

| 3 5 11 |

*I think, first I should write the transpose of matrix which is the symmetric matrix and then write the transpose again multiplied by -1.*

*After that I can add both matrix and prove that it is equal to the [] matrix.*

but in book, they used these formula,

B = 1/2 (A+A')

C = 1/2 (A-A')

**I'm not sure what is this... and where it came from**ðŸ˜¨

**Anyone can explain me? My method is right or the method used in the book?**â˜•