Every Hermitian matrix written as A+iB where A is real and symmetric B is real and skew-symmetric

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EVERY HERMITIAN MATRIX CAN BE WRITTEN AS B+iC, WHERE B IS REAL SYMMETRIC & C IS REAL SKEW SYMMETRIC. EVERY HERMITIAN MATRIX CAN BE WRITTEN AS B+iC, WHERE B IS REAL SYMMETRIC & C IS REAL SKEW SYMMETRIC.
EVERY SKEW HERMITIAN MATRIX CAN BE WRITTEN AS B+iC, B IS REAL SKEW SYMMETRIC & C IS REAL SYMMETRIC. EVERY SKEW HERMITIAN MATRIX CAN BE WRITTEN AS B+iC, B IS REAL SKEW SYMMETRIC & C IS REAL SYMMETRIC.
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Show every hermitian matrix can written as A+iB,where A is real&symmetric and B is real&skew-symtric Show every hermitian matrix can written as A+iB,where A is real&symmetric and B is real&skew-symtric
ANY SQUARE MATRIX CAN UNIQUELY BE EXPRESSED AS SUM OF HERMITIAN MATRIX & SKEW HERMITIAN MATRIX ANY SQUARE MATRIX CAN UNIQUELY BE EXPRESSED AS SUM OF HERMITIAN MATRIX & SKEW HERMITIAN MATRIX