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Vectors In Linear Algebra

  • Thread starter roam
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  • #1
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Hello!
I have just started studying linear algebra and I got the following question:

We have:
http://img528.imageshack.us/img528/7687/dfdsf1lj3.gif [Broken]

Expres u as a linear combination of the vectors v and w.







This is my attempt;
(By definition a vector is called a linear combination of [tex]v_{1}, v_{2},... v_{k}[/tex] if it can be expressed in form [tex]c_{1}v_{1}, c_{2}v_{2},... c_{k}v_{k}[/tex] )

So we get: [tex]c_{1} (4,3,2,1) + c_{2} (1,1,1,1) [/tex]

Is this right? Is this all we were required to show?

Thanks you.

 
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Answers and Replies

  • #2
Hootenanny
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You would also need to determine the values of the scalar coefficients.
 
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  • #3
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How do we find the values of the scalar coefficients i.e., [tex]c_{1} , c_{2}[/tex]? Thant's my problem... :confused:

Thanks.
 
  • #4
Hootenanny
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How do we find the values of the scalar coefficients i.e., [tex]c_{1} , c_{2}[/tex]? Thant's my problem... :confused:

Thanks.
Well, you have two unknowns which must satsify a system of four equations. Solve.
 

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