请教:关于以下线性代数的英文讲的是线性代数的那部分?
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请教:关于以下线性代数的英文讲的是线性代数的那部分?
If T:V→W is one-to-one , and{Tv1,…,Tvn} is a basis for W,then {v1,…,vn} is a basis for V
Suppose that V and W are vector spaces, and let T: V→W be a linear trasformation.
Let U be a subspace of W. Show that
Tˉ¹(U):= {v∈V:T(v) ∈}
Is a subspace of V. Explain why this shows that the null space N(T) is also a supace.
能给一下提示吗?(解)此类题的思考点,解题窍门!(我不太懂英文)
If T:V→W is one-to-one , and{Tv1,…,Tvn} is a basis for W,then {v1,…,vn} is a basis for V
Suppose that V and W are vector spaces, and let T: V→W be a linear trasformation.
Let U be a subspace of W. Show that
Tˉ¹(U):= {v∈V:T(v) ∈}
Is a subspace of V. Explain why this shows that the null space N(T) is also a supace.
能给一下提示吗?(解)此类题的思考点,解题窍门!(我不太懂英文)
![请教:关于以下线性代数的英文讲的是线性代数的那部分?](/uploads/image/z/17605215-63-5.jpg?t=%E8%AF%B7%E6%95%99%EF%BC%9A%E5%85%B3%E4%BA%8E%E4%BB%A5%E4%B8%8B%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%E7%9A%84%E8%8B%B1%E6%96%87%E8%AE%B2%E7%9A%84%E6%98%AF%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%E7%9A%84%E9%82%A3%E9%83%A8%E5%88%86%EF%BC%9F)
这题是向量空间和线性映射部分的,英文不好的话就看中文书
直接用定义证明就行了,没什么窍门可言,先把定义搞懂再说
直接用定义证明就行了,没什么窍门可言,先把定义搞懂再说