
Vector Spaces and Their Properties

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a vector space also known as?
Matrix space
Linear space
Scalar space
Zero space
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which property states that adding a zero vector to any element returns the element itself?
Distributive property
Associative property
Zero vector property
Commutative property
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying a vector by the scalar 1?
The same vector
Zero vector
A matrix
A scalar
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the closure property in vector spaces require?
Elements must be real numbers
Addition and scalar multiplication must result in elements within the space
Vectors must be of equal length
Matrices must have the same dimensions
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the set of real numbers considered a vector space?
It contains only positive numbers
It is infinite
It is closed under addition and scalar multiplication
It includes complex numbers
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does Rn represent in vector spaces?
Set of real matrices
Set of real vectors of length n
Set of real numbers
Set of complex numbers
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can a vector space be made up of functions?
By using complex numbers
By ensuring closure under addition and scalar multiplication
By using only linear polynomials
By including only positive functions
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