Question: Please help solve linear algebra problem attached. Let F be an arbitrary field, where 1 denotes the multiplicative identity. Let M2x2(F) denote the vector space

Please help solve linear algebra problem attached.

Let F be an arbitrary field, where 1 denotes the multiplicative identity. Let M2x2(F) denote the vector space of 2 x 2 matrices with entries from F. Determine whether S spans M2x2(F)

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