Surplus-deficiency of cardinal number and inverse P-augmented matrices

Ren Xue-fan · Journal of Shandong University · 2015

By using the dynamic characteristics of inverse P-sets and improving ordinary augmented matrix,internal inverse P-augmented matrix,outer inverse P-augmented matrix and inverse P-augmented matrix are put forward; their structures,generations and relations are given. By crossing the surplus-deficiency of cardinal number with inverse P-augmented matrix,the relationship theorem between surplus value of cardinal number and internal inverse P-augmented matrix,the relationship theorem between deficient value of cardinal number and outer inverse P-augmented matrix,and the relationship theorem between surplus-deficient value of cardinal number and inverse P-augmented matrix are proposed.Finally,an application of these results above is shown.

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