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Linear Algebra

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Moderate

Dimension of the Space of Symmetric Matrices

LINALG-XS1EJG

What is the dimension of the space of all $n\times n$ symmetric matrices?

A

$n^2$

B

$n$

C

$\cfrac{n^2}{2}$

D

$\cfrac{n^2-n}{2}$

E

$\cfrac{n^2+n}{2}$

F

None of the above.