
Linear Algebra Concepts and Applications

Interactive Video
•
Mathematics
•
11th Grade - University
•
Hard
Standards-aligned

Emma Peterson
FREE Resource
Standards-aligned
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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 zero vector when multiplied by the matrix.
The set of all vectors that result in a non-zero vector when multiplied by the matrix.
The set of all vectors that span the columns of the matrix.
The set of all vectors that span the rows of the matrix.
Tags
CCSS.7.EE.B.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find a basis for the null space of a matrix?
By solving the equation Matrix A * Vector x = Zero Vector.
By multiplying the matrix by its inverse.
By finding the pivot columns of the matrix.
By transposing the matrix.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What forms a basis for the column space of a matrix?
The free variables of the matrix.
The inverse of the matrix.
The pivot columns of the matrix.
The zero vector.
Tags
CCSS.7.EE.B.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of a pivot column in a matrix?
It is always zero.
It indicates a basis vector for the column space.
It is the determinant of the matrix.
It is a free variable.
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example, which columns form a basis for the column space of the given 3x4 matrix?
Columns 1 and 3
Columns 1 and 2
Columns 2 and 4
Columns 3 and 4
Tags
CCSS.8.EE.C.8B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are free variables in the context of solving a matrix equation?
Variables that can take any value in the solution.
Variables that are always zero.
Variables that are dependent on other variables.
Variables that are equal to the pivot variables.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the null space of a transpose matrix determined?
By finding the determinant of the transpose matrix.
By multiplying the transpose matrix by its original matrix.
By finding the inverse of the transpose matrix.
By solving the equation A Transpose * Vector x = Zero Vector.
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