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Are the following vector space and why? 1.The set V of all ordered pairs (x, y)...

Are the following vector space and why?

1.The set V of all ordered pairs (x, y) with the addition of R2, but scalar multiplication a(x, y) = (x, y) for all a in R.

2. The set V of all 2 × 2 matrices whose entries sum to 0; operations of M22.

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