Math
Vectors Solutions
non-zero.
Which of the below is/are not true with respect to the indicated sets of
vectors in R"?
A If a set contains the zero vector, the set is linearly independent.
B. A set of one vector is linearly independent if and only if the vector is
C A set of two vectors is linearly independent if and only if none of the
vectors in the set is a scalar multiple of the other.
D. A set of three or more vectors is lineally independent if and only if none
of the vectors in the set is a scalar multiple of any other vector in the set.
E If the number of vectors in a set exceeds the number of entries in each
vector, the set is linearly dependent.
F. A set of two or more vectors is linearly independent if and only if none
of the vectors in the set is a linear combination of the others.
Let u, v, w be vectors in R. If the set {u, v, w} is linearly dependent and
the set (u, v) is linearly independent, then w is in the Span{u, v} which is
a plane in R through u, v, and 0.
G
