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OpenStudy (anonymous):
Determine whether S is a subspace of the given vector space V, V=M2 (R), S is the subset of all 2x2 matrices with det(A)=1
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OpenStudy (anonymous):
In order for S to be a subspace, it must contain the zero matrix. But the determinant of the zero matrix is 0, which fails the condition that det(A) = 1, so S cannot be a subspace
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