題組內容

4.(20%)下面的問題共有四個子題,只要寫出每個子題的答案即可(不需寫出計算過程),例如 (a)β=1, γ=2。
Let a₁ = [1 0 1 a]^T , a₂= [1 β 2 2]^T, and as = [-2 3 γ -4]^TFbethree vectors in R⁴, where a, β, and γ are three real parameters, and denote A := [a1 a₂ a₃].

(a) (4%) If, where N denotes the set of all positive integers, then find positive integers β and such that {a₁, a₂, a₃} is a linearly dependent set.

題組內容

(a) (4%) If, where N denotes the set of all positive integers, then find positive integers β and such that {a1, a2, a3} is a linearly dependent set.

其他申論題

(a) (4%) If, where N denotes the set of all positive integers, then find positive integers β and such that {a₁, a₂, a₃} is a linearly dependent set.