4.4
Spanning Sets and
Linear Independence
,Linear Combinations of Vectors in a Vecto
Space
, Linear Combinations of Vectors in a Vector Space (1 of 1)
Definition of a Linear Combination of Vectors
A vector v in a vector space V is a linear combination of
the vectors u1, u2, . . . , uk in V when v can be written in
the form
v = c1u1 + c2u2 + . . . + ckuk
where c1, c2, . . . , ck are scalars.
Spanning Sets and
Linear Independence
,Linear Combinations of Vectors in a Vecto
Space
, Linear Combinations of Vectors in a Vector Space (1 of 1)
Definition of a Linear Combination of Vectors
A vector v in a vector space V is a linear combination of
the vectors u1, u2, . . . , uk in V when v can be written in
the form
v = c1u1 + c2u2 + . . . + ckuk
where c1, c2, . . . , ck are scalars.
