Linear Combination and Span
Consider the vector space 2 over . If = α(2,3) and α = -4, then find the value of
Let be a subspace of a vector space 3 over . For ∈ , which of the following is true?
Let be a subspace of a vector space over . For ={0}, ≡ {α+β: ∈ and α, β ∈ } equals
Consider the vector 2 over . Let
(i) (4, 8)=α(2, 3) for some αϵ
(ii) (2, 3)=α(1, 1)+β(-1, -1) for some α, β ϵ
Then which of the following is true
(i) (4, 8)=α(2, 3) for some αϵ
(ii) (2, 3)=α(1, 1)+β(-1, -1) for some α, β ϵ
Then which of the following is true
(-4, 12) = α(-2, 0) + β(0, 6) if α and β equals to