Subspace of a Vector Space

Consider the vector space R2 over R. Its zero is
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Consider the vector space M2x2 over R. Then additive inverse of X ϵ M2x2, is
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Which of the following planes pass through origin
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Which of the following equations represent a line passing through origin?
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6(2 , -1) + 3(-1 , 2) equals
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For what values α, β ϵ R
(α + β , α - β) = 3(2 , 4)
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For what values α, β ϵ R
(2 , 6) = α(1 , 1) + β(1 , -1)
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