You decide whether any given matrix is an orthonormal matrix or not.

If each column in a matrix is perpendicular to the others, the matrix is orthonormal. Also each column in the matrix must be a unit vector.

Example

 a = [1 0 0; 0 1 0; 0 0 1] is an orthonormal matrix
Solve

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Keshav Vishal Herman Nobirul

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