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In this paper I have discussed about some new properties of Hermitian , Skew Hermitian matrices , diagonalisation , eigen values ,eigen vectors , spectrum , which will open up a new horizon to the students of Mathematics . Also , in this paper I have written two totally new theorems for students and researchers . SB’s Theorem 1 is on Normality of a block diagonal matrix and SB’s Theorem 2 is on Spectrum of eigen values . These ideas came to me in course of teaching . Hope , these two theorems will be of great help for the students of Physics and Chemistry as well .

MATRICES : SOME NEW PROPERTIES./ SB’S THEOREMS (SPECTRUM)