- #1
Yankel
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A and B are two symmetric matrices that satisfy: AB = - BA
Which one of these statements are always true:
a. (A-B)^2 is symmetric
b. AB^2 is symmetric
c. AB is invertable
I tried to think of an example for such matrices, but couldn't even find 1...there must be a logical way to solve it.
any assistance will be appreciated...
Which one of these statements are always true:
a. (A-B)^2 is symmetric
b. AB^2 is symmetric
c. AB is invertable
I tried to think of an example for such matrices, but couldn't even find 1...there must be a logical way to solve it.
any assistance will be appreciated...