A flag transitive plane of order 49 and its translation complement.

Narayana Rao, M.L.; Satyanarayana, K.; Arjuna Rao, K.M.

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Basic Properties of the Rank of Matrices over a Field

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In this paper I present selected properties of triangular matrices and basic properties of the rank of matrices over a field.I define a submatrix as a matrix formed by selecting certain rows and columns from a bigger matrix. That is in my considerations, as an array, it is cut down to those entries constrained by row and column. Then I introduce the concept of the rank of a m x n matrix A by the condition: A has the rank r if and only if, there is a r x r submatrix of A with a non-zero...