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For each of the following, determine whether it is a vector space over the given field....

For each of the following, determine whether it is a vector space over the given field.

(i) The set of 2 × 2 matrices of real numbers, over R.

(ii) The set of 2 × 2 matrices of real numbers, over C.

(iii) The set of 2 × 2 matrices of real numbers, over Q.

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