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January 11th, 2011, 02:58 PM   #1
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Linear Combination and Span

Hey, I need help with two scalar problems.
The directions for both problems are
"Find all scalars c, if any exist, such that the given statement is true."

26. The vector [-1,c] is a linear combination of the vectors [-3,5] and [6,-11].

30. The vector [c,-2c,c] is in the span of [1,-1,1], [0,1,-3], and [0,0,1].

I know how to find if a vector is a linear combination of the vectors but I don't know how to do it with an extra variable.
The span problem, I am completely lost. Thanks for any help!
WeMo123 is offline  
 
January 11th, 2011, 04:04 PM   #2
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Re: Linear Combination and Span

hai,
don't consider c as extra variable, it acts a constant.
proceed as usual. result we get include c.
saravananbs is offline  
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