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10 Nov 2019
a) let A be an n x n matrix. show that A+A^T is symmetric and A - A^T is skew-symmetric.
b) use part a) to show that any n x n matrix can be written as the sum of a symmetric matrix and a skew-symmetric matrix.
c) Show that if A is symmetric and B is skew-symmetric, and AB=BA, then AB is skew-symmetric
a) let A be an n x n matrix. show that A+A^T is symmetric and A - A^T is skew-symmetric.
b) use part a) to show that any n x n matrix can be written as the sum of a symmetric matrix and a skew-symmetric matrix.
c) Show that if A is symmetric and B is skew-symmetric, and AB=BA, then AB is skew-symmetric
Collen VonLv2
28 Oct 2019