MA 405 Second Midsemester Quiz Solutions

# MA 405 Second Midsemester Quiz Solutions - Lin Alg Matrices...

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Problem 1 (7 points): Please answer the following questions about vector spaces and matrices. Please, also justify your answers briefly. (a, 1.5pts) Consider R 2 with x 1 y 1 x 2 y 2 = x 1 + x 2 - y 1 - y 2 for addition and α fl x 1 y 1 = αx 1 αy 1 for scalar multiplication. Is R 2 with these operations a vector space?
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