Linear Algebra
Hello, could anyone help me with this excersise of linear algebra, Please?
Well it's about linear transformation defined as T:VW , the excersices give me a set of linearly independent vectors of V {v1,v2, v3... vk} and then asks :
Are {W1, w2, w3, ...wk}, the linear transformation of v1, v2,.. , also linearly independent?
How can I demonstrate that?
asked by
Anthony

google the topic. You will find many good discussions, such as this one:
http://math.stackexchange.com/questions/584132/proofoflinearindependenceofvectorsafterapplyingalineartransformationposted by Steve
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