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 ]
Algebra ->
Matrices-and-determiminant
-> 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 ]
Log On
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):
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.
