
Vector Space Quiz
Quiz
•
Mathematics
•
University
•
Hard
Alee Alee
Used 1+ times
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49 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a vector in R3?
[12]
[3−25]
[01]
[1234]
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A vector space must be closed under which two operations?
Differentiation and integration
Multiplication and division
Vector addition and scalar multiplication
Transposition and inversion
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which one is NOT a property of a vector space?
Associative multiplication
Distributive scalar multiplication
Additive inverse
Zero vector exists
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The zero vector in any vector space:
Does not exist
Depends on the scalar
Is the additive identity
Must have all components as one
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The set of all vectors in R2 is a:
Matrix
Subspace
Vector space
Scalar field
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If v=[2−1], then 3v=?
[6−3]
[50]
[3−3]
[61]
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a set is closed under addition but not under scalar multiplication, is it a vector space?
Yes
No
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