Eigenvectors of a matrix are orthogonal then matrix is
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A real square matrix is orthogonal if and only if its columns form an orthonormal basis of the Euclidean space ℝn with the ordinary Euclidean dot product, which is the case if and only if its rows form an orthonormal basis of ℝn. It might be tempting to suppose a matrix with orthogonal (not orthonormal) columns would ...
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a unit vector in space is expressed in Cartesian notation as a linear combination of i, j, k, its three scalar components can be referred to as direction cosines. The value of each component is equal to the cosine of the angle formed by the unit vector—with the respective basis vector.
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