If f and g are in the vector space of all functions with continuous derivatives, then
Chapter 6, Problem 6.2.15(choose chapter or problem)
If f and g are in the vector space of all functions with continuous derivatives, then the determinant is called the Wronskian of f and g [named after the Polish-French mathematician Jsef Maria Hon- Wronski (17761853), who worked on the theory of determinants and the philosophy of mathematics]. Show that f and g are linearly independent if their Wronskian is not identically zero (that is, if there is some x such that W(x) 0).
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