Abstract in English

There are many known methods for finding each of: Determinate for square matrix, Inverse for irregular square matrix, and Rank for any matrix. but these methods become difficult to high- order matrices . and even software gives results are rounded due to recycling numbers several times. The main idea in this work is finding Determinate, Rank, and Inverse matrix by reduction the order of matrix.

References used

Bellman R., Introduction to matrix analyses(2nd)New York: McGraw-Hill 1970
Bocher M., Introduction to Higher Algebra .New York,1936
Brawn A.,T., Introduction to the Theory of Determinants, University of North Carolina Press,1958

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