SOLUTION: Find matrix B, if A is symmetric matrix and B is skew symmetric matrix and their sum is the following: [ 2 3 ] [ 5 -1 ]

Question 1184164: Find matrix B, if A is symmetric matrix and B is skew symmetric matrix and their sum is the following:
[ 2 3 ]
[ 5 -1 ]
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


If   A + B = C,  where A is symmetric matrix and B is skew-symmetric matrix, then


    A = ,   B = ,     (1)


where upper script  ^t  means  matrix transposition.


Having formula  (1),  you do the rest.

Solved, and you just obtained all necessary instructions.

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