column and null space
0.0(0)
Studied by 0 people0.0(0)
Call with Kai
Learn
Practice Test
Spaced Repetition
Match
Flashcards
Knowt PlayCard Sorting
1/6
There's no tags or description
Looks like no tags are added yet.
Study Analytics
Name | Mastery | Learn | Test | Matching | Spaced | Call with Kai |
|---|
No study sessions yet.
7 Terms
1
New cards
null space/kernel of A mxn matrix/ker(A)
the set of vectors in Rn with Ax=0; dimension is called the nullity of A
2
New cards
kernel and row space of A are
subspaces of Rn
3
New cards
column space of A is
subspace of Rm
4
New cards
row space of A/row(A)
= the span of the rows of A
5
New cards
column space of A/image of A/col(A)
= the span of the columns of A, dimension is called the rank of A
6
New cards
in terms of systems of equations, col(A) = im(A) =
the set of vectors y in Rm with y = Ax for some x in Rn
7
New cards
in terms of systems of equations, null space = ker(A) is
the set of solutions to homogenous system Ax = 0
Note 
Flashcards (24)