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Rocket254
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Linear Algebra: Vector Space proof...
I'm really having trouble comprehending this problem. This is not exactly a "homework problem" but I need a good, formal definition of this to help with some other problems.
Let (Vectors) V1, V2,...,Vk be vectors in vector space V. Then the set W of all linear combinations of Vectors V1, V2,...Vk is a "subspace" of V.
Exactly how do you prove this?
After setting up two vectors to find the subspace, I'm lost.
Gladly appreciate any help.
I'm really having trouble comprehending this problem. This is not exactly a "homework problem" but I need a good, formal definition of this to help with some other problems.
Let (Vectors) V1, V2,...,Vk be vectors in vector space V. Then the set W of all linear combinations of Vectors V1, V2,...Vk is a "subspace" of V.
Exactly how do you prove this?
After setting up two vectors to find the subspace, I'm lost.
Gladly appreciate any help.