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## Homework Statement

Find a spanning set for the space of all 3x3 symmetric matrices.

## Homework Equations

## The Attempt at a Solution

I know how to find the spanning set for vectors, but I don't know if it works the same way for matrices. Is the set's elements matrices? If so, would this be it?

|100| |010| |001| |000| |000| |000|

|000| |100| |000| |010| |001| |000|

|000| |000| |100| |000| |010| |001|

Sorry if that's messy, I'm not sure what the normal way of typing matrices is.