Which of the following statements is always true?
Group of answer choices
A single vector by itself is a linearly independent set.
A linearly independent set of vectors X
in a vector space V
is a basis of V
.
A basis is a spanning set with the maximal number of vectors.
For a matrix A
, the dimension of the null space is less than or equal to the number of columns in the matrix A
.
If H = span{b1,b2...bk}
, then the set {b1,b2...bk}
is a basis for H
.