On a Theorem of Algebra and its Geometrical Application

Shing-Shern Chern · Journal of the Indian Mathematical Society · 1944

The following theorem of algebra seems to be of interest: THEOREM. Let Φ α = Σ a m , x 1 x 1 , a αij , = a αji , α = I,......., r, (1) be r linearly independent quadratic forms in the n independent variables x 1 .

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