Construct an orthogonal matrix using the
skew- symmetric matrix `A=[[0,2],[-2,0]].`

Explanation

To construct an orthogonal matrix using the skew-symmetric matrix \( A = \begin{bmatrix} 0 & 2 \\ -2 & 0 \end{bmatrix} \), we can use the formula:

\[ B = (I - A^{-1})(I + A) \]

where \( I \) is the identity matrix. Let’s go through the steps to find the orthogonal matrix \( B \).

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