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anonymous
 5 years ago
examine the following sets for linear independence:u1= e^x ,u2= e ^−x
anonymous
 5 years ago
examine the following sets for linear independence:u1= e^x ,u2= e ^−x

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[u _{1}=e^{x}, u _{2}=e^{x}, \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you know the definition of linear independence?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u1=e^x, u2=e^x, are independent if there exist two scalar a,b such that: a(e^x)+b(e^x)=0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i know c1u1+c2u2=0; if c1 and c2 is zero then its called linear independence

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0multiply both sides by e^x to get: a(e^2x)+b=0 > a(e^2x)=b , which only has the solution (a,b)=(0,0).. (a,b)=(0,0) satisfies the definition since 0(e^x)+0(e^x)=0, and hence they are linearly independent.
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