Linear Algebra

Harold M. Edwards
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Harold M. Edwards: New York University, Courant Institute

Chapter chapter 4 in Advanced Calculus, 1994, pp 76-131 from Springer

Abstract: Abstract Linear algebra is the study of a very simple but very important type of problem, of which the following is typical: Certain quantities are known to satisfy relations p = 2 S + 4 T + 3 U − V + 2 q = S + 2 T + 3 U + V − 3 r = 4 S + 8 T + 10 U + 2 V + 2. $$\begin{array}{*{20}{c}} {p = 2S + 4T + 3U - V + 2}\\ {q = S + 2T + 3U + V - 3}\\ {r = 4S + 8T + 10U + 2V + 2.} \end{array}$$ Given values of (p, q, r), find all possible values of (S, T, U, V).

Keywords: Vector Space; Linear Algebra; Canonical Form; Level Surface; Chain Rule (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-1-4612-0271-4_4

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