

Matrix Rank and Nullity Concepts
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the null space of a matrix?
The set of all vectors that result in a non-zero vector when multiplied by the matrix
The set of all vectors that are orthogonal to the matrix
The set of all vectors that are parallel to the matrix
The set of all vectors that result in a zero vector when multiplied by the matrix
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a matrix A is 3x5, what is the dimension of its null space?
3
5
8
2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What determines the rank of a matrix?
The number of zero rows
The number of pivot columns
The number of columns
The number of rows
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the maximum rank of a 3x5 matrix?
0
2
3
5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the minimum rank of a matrix?
2
1
0
3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the rank theorem, what must the sum of the rank and nullity of a matrix equal?
The number of non-pivot columns
The number of columns
The number of rows
The number of pivot columns
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the largest possible nullity of a 3x5 matrix?
0
2
5
3
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