
matrix
Nice to see the forum back again. It has been down for weeks hasn't it?
A question says: "Cayley proved in 1946 that, if S is a skewsymmetric matrix, then I+S is nonsingular and A=(IS)(I+S)^1 is orthogonal. Find A when S=(0 3, 3 0) and show that it is orthogonal."
The second row of S is 3 0. I don't know why I am not able to find A. I will probably manage the final part myself.

Re: matrix
$\begin{bamtrix}1 & 0\\
0 & 1
\end{batrix}
\begin{bmatrix}
0 & 3\\
3 & 0
\end{bmatrix} =
\begin{bmatrix}
1 & 3
3 & 1
\end{bmatrix}$
So then what is I + S?
Let B=I+S. Then the inverse of B is
$\frac{1}{\text{det}(B)}\begin{matrix}
b_{22} & b_{21}\\
b_{12} & b_{11}
\end{bmatrix}$

Re: matrix
Is The Matrix,
 0 3 
 3 0 
And,
 1 3
 3 1 
IF these are the two matrices please tell everyone, Please also Define I & S
A series of good videa tutorials on matrices can be found here!
Sorry, didnt realise there was a post above the one shown on my screen. I see the question now i am just gonna leave my post as it is for now though. sorry.

Re: matrix
The first matrix you give is S. I had been making a mistake by multiplying by the determinant instead of dividing. The expression is straightforward to evaluate. The last part is done using the property AxAtranspose=I.