- #1

- 41

- 0

6 & 1 & 5\\

-2 & -5 & 4\\

-3 & 3 & -1\

end{array}

\right) as the sum of the symmetric and skew symmetric matrices.

I did this following way

Consider symmetric metric as "A"

then;

A = \left(\begin{array}{cccc}

6 & 1 & 5\\

1 & -5 & 4\\

5 & 4 & -1\

\end{array}

\right)

Consider skew symmetric metric as "B"

then;

B = \left(\begin{array}{cccc}

0 & 1 & 5\\

-1 & 0 & 4\\

-5 & -4 & 0\

\end{array}

\right)

Then sum of matrices A and B is;

A+B= \left(\begin{array}{cccc}

6 & 2 & 10\\

0 & -5 & 8\\

0 & 0 & -1\

\end{array}

\right)

is this correct??