.Let A and B be vector subspaces of a vector space V .The intersection of A and B,A ∩ B,is the
.Let A and B be vector subspaces of a vector space V .The intersection of A and B,A ∩ B,is the
.Let A and B be vector subspaces of a vector space V .
The intersection of A and B,A ∩ B,is the set {x ∈ V | x ∈ A and x ∈ B}.
The union of A and B,A ∪ B,is the set {x ∈ V | x ∈ A or x ∈ B}.
a) Determine whether or not A ∩ B is a vector subspace of V .Prove your answer.
b) Determine whether or not A ∪ B is a vector subspace of V .Prove your answer.
.Let A and B be vector subspaces of a vector space V .
The intersection of A and B,A ∩ B,is the set {x ∈ V | x ∈ A and x ∈ B}.
The union of A and B,A ∪ B,is the set {x ∈ V | x ∈ A or x ∈ B}.
a) Determine whether or not A ∩ B is a vector subspace of V .Prove your answer.
b) Determine whether or not A ∪ B is a vector subspace of V .Prove your answer.
其他人氣：357 ℃時(shí)間：2020-07-05 16:54:30
優(yōu)質(zhì)解答
假定矢量空間V有兩個(gè)子矢量空間A和B.A和B的交集A ∩ B,設(shè)元素{x ∈ V | x ∈ A 和 x ∈ B}.A和B的并集A ∪ B,設(shè)元素{x ∈ V | x ∈ A 或者 x ∈ B}.a.確定A ∩ B是否是V的子矢量空間.證明你的答案.b.確定A ∪ B是否...
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