Finite orthogonal set of nonzero vectors is a linearly independent set

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An orthogonal set of non-zero vectors is Linearly Independent [discussion with examples]| Lecture-17 An orthogonal set of non-zero vectors is Linearly Independent [discussion with examples]| Lecture-17
10. Theorem 1 || Orthogonal set of non zero vector is linearly independent 10. Theorem 1 || Orthogonal set of non zero vector is linearly independent
If S= {u1,..., un} is an orthogonal set of nonzero vectors in R^n, then S is linearly independent. If S= {u1,..., un} is an orthogonal set of nonzero vectors in R^n, then S is linearly independent.
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