
Understanding Vector Spaces and Subspaces

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

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a vector space primarily defined by?
A set of equations
A set of numbers
A set of vectors with addition and scalar multiplication
A set of matrices
Tags
CCSS.8.EE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many axioms of addition are there in a vector space?
Four
Three
Five
Six
Tags
CCSS.HSA.APR.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What distinguishes a subspace from a subset?
A subspace is larger than a subset
A subspace satisfies specific axioms
A subset is always a subspace
A subspace contains only one vector
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the condition for polynomials in the set Z?
They must evaluate to one at t=0
They must be linear polynomials
They must evaluate to zero at t=0
They must be of degree four or less
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What form do polynomials in set Z take?
p(t) = t + a1t^2 + a2t^3
p(t) = a0 + a1t + a2t^2 + a3t^3
p(t) = a1t + a2t^2 + a3t^3
p(t) = 1 + a1t + a2t^2 + a3t^3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does set Z not contain the zero vector?
Because the constant term must be one
Because the polynomials are not closed under addition
Because the constant term must be zero
Because the polynomials are not in P3
Tags
CCSS.HSA.APR.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you add two polynomials from set Z?
The sum is always a polynomial of degree four
The sum is always zero
The sum is not in set Z if the constant term is not one
The sum is always in set Z
Tags
CCSS.HSA.APR.A.1
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