Let V be the set M2,2 with the usual addition, but with scalar multiplication defined by A O2,2 for all 2 2 matrices A and scalars Determine whether or not V is a vector space with these operations

Question: Let V be the set M2,2 with the usual addition, but with scalar multiplication defined by A = O2,2 for all 2 2 matrices

Let V be the set M2,2 with the usual addition, but with scalar multiplication defined by αA = O2,2 for all 2 × 2 matrices A and scalars α. Determine whether or not V is a vector space with these operations.

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