1. ## Vector Space

Is the set of 3x3 symmetric matrices a vector space?

We just started vector spaces and axioms and I am completely lost.

2. Originally Posted by lm6485
Is the set of 3x3 symmetric matrices a vector space?

We just started vector spaces and axioms and I am completely lost.

If you sum two symmetric matrices you get a symmetric matrix?

If you multiply a sym. matrix by a scalar you get again a sym. matrix?

Tonio