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if {Av1,Av2,..., Avk} is linearly dependent set of vectors in Rn and A is an nxn...

if {Av1,Av2,..., Avk} is linearly dependent set of vectors in Rn and A is an nxn invertible matrix, the {v1,v2,...vk} is also a linearly dependent set of vectors in Rn

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