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February 20th, 2010, 05:58 PM  #1 
Senior Member Joined: Nov 2009 Posts: 129 Thanks: 0  T: V to V and [T]_B is invertible
let V be a finitedimensional vector space with and ordered basis B and let T: V to V be linear. Prove: If [T]_B is invertible then T is invertible. Furthermore, [T^1]_B = ([T]_B)^1 

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