The goal of this text is to teach you to organize information about vector spaces in a way that makes problems involving linear functions of many variables easy. David cherney, tom denton, rohit thomas and andrew waldron. Section 2 introduces some of the terminology used in algebra and techniques such as evaluating and checking equivalence of expressions, identifying terms in an expression and collecting like terms. We use only one theoretical concept from linear algebra, linear independence, and only one computational tool, the qr factorization. Matrices,determinants, systemsoflinearequations 26 2.
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