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  • Mathematics
    Vector Space: Orthonormal Base
    • Vectors
      • Matrices
        • Vector Space
          • Row, Column & Null
            Space
          • Orthonormal Base
        • Algebra
          • Calculus
            • Logic
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                • Statistics & Probability
                  • Geometry
                    • Special Functions
                      Finding Orthonormal Base vectors from Base vectors spanning n-dimensional space

                      For the supplied set of m vectors u1, ..., um that are the base that is spanning the n-dimensional space ℝn,
                      find the orthonormal base v1, ..., vm of the same space.
                      (vectors are orthogonal among themselves, normalized and span the same space)

                      First specify the number of base vectors m (dimension of subspace they span) and the dimension n of the space they belong to,
                      and then m n-dimensional vectors forming the spanning base.
                      Please note that we have limited the dimension n in the "Manual Entry" tab to 10 due to the limited space on the screen.
                      Number m of base vectors (subspace dimension): Dimension n of space ℝn:
                      Base:
                      u1 = ( , , )
                      u2 = ( , , )
                      u3 = ( , , )
                      Orthonormal Base:

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