- #1
JJBladester
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Homework Statement
I am in a differential equations course currently. The chapter I'm reading is "linear differerntial equations: basic theory". The words linear combination and linear operator are used.
Homework Equations
L{[tex]\alpha[/tex]f(x) + [tex]\beta[/tex]g(x)} = [tex]\alpha[/tex]L(f(x)) + [tex]\beta[/tex]L(g(x))
The Attempt at a Solution
I forgot what the quick and easy definition of "linear combination was. I seem to remember something about "closed under addition and scalar multiplication". Perhaps somebody could help me re-learn this concept. I took Calc III and Linear Algebra and passed with flying colors but time has eaten my brain.
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