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Let{x1,x2,,xn}be any set ofnvectors in ann-dimensional vector spaceV. Prove thatV=span{x1,x2,,xn}if and only if{x1,x2,,xn}is linearly independent.
Let{x1,x2,,xn}be any set ofnvectors in ann-dimensional vector spaceV. Prove thatV=span{x1,x2,,xn}if and only if{x1,x2,,xn}is linearly independent.
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Elementary Linear Algebra with Applications
Authors: Howard Anton, Chris Rorres
9th edition
471669598, 978-0471669593
