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wumple
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Homework Statement
Is the set of invertible 3x3 matrices a subspace of 3x3 matrices?
Homework Equations
The Attempt at a Solution
I think no - the 'neutral 0 element' is not in the subset since the 3x3 0 matrix is not in the subset. Am I right? The book says it's not a subspace because it's not closed under addition, but I'm not sure if my reason is also correct.