Determine whether each set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail. The set of all 2 X 2 invertible matrices with the standard matrix addition and scalar multiplication. O Vis avector space. O Vis not a vector space, by Axiom 1 fails to hold. O Vis not a vector space, by Axiom 9, 10 fails to hold. O Vis not a vector space, by Axioms 2, 3, 4 fail to hold. O Vis not a vector space, by Axioms 5-8 fail to hold.

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