Problems If v 1 and v 2 are vectors in a vector space V , and u 1 , u 2 , u 3 are each linear combination of them, prove that { u 1 , u 2 , u 3 } is linearly dependent.
Problems If v 1 and v 2 are vectors in a vector space V , and u 1 , u 2 , u 3 are each linear combination of them, prove that { u 1 , u 2 , u 3 } is linearly dependent.
Solution Summary: The author explains that a finite nonempty set of vectors is linearly dependent if there exist scalars.
If
v
1
and
v
2
are vectors in a vector space
V
, and
u
1
,
u
2
,
u
3
are each linear combination of them, prove that
{
u
1
,
u
2
,
u
3
}
is linearly dependent.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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