The Journal of the Indian Mathematical Society

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The Theory of Bilinear and Double-Binary Forms


     

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Let F = Σ aij , xi yj (i,j = 1, 2, …. n) be a bilinear form in two sets of digredient variables (x1, x1 … x ), (y1, y2, … y). The matrix | aij | of order n may be called the matrix of F, and its rank r, the rank of F.
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  • The Theory of Bilinear and Double-Binary Forms

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Abstract


Let F = Σ aij , xi yj (i,j = 1, 2, …. n) be a bilinear form in two sets of digredient variables (x1, x1 … x ), (y1, y2, … y). The matrix | aij | of order n may be called the matrix of F, and its rank r, the rank of F.