SOLUTION: Consider the following two vectors in R3 : u=(1,2,3) and v=(2,3,1). Show whether it is possible to express the vector w=(2,4,5) as a linear combination of u and v.

Algebra.Com
Question 929970: Consider the following two vectors in R3
: u=(1,2,3) and v=(2,3,1). Show whether it is possible to
express the vector w=(2,4,5) as a linear combination of u and v.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
a(1,2,3)+b(2,3,1)=(2,4,5)
.
.
.
1.
2.
3.
There is no solution for these three equations in two unknowns.
No, it is not possible to form w as a linear combination of u and v.

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