
Matrix Transformations and Projections

Interactive Video
•
Mathematics, Science
•
10th - 12th 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 the primary focus of the matrix transformation discussed in the video?
Rotation around the z-axis
Translation along the y-axis
Projection onto the xy-plane
Scaling along the x-axis
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the transformation process, what happens to the z-component of a vector in R3?
It becomes zero
It remains unchanged
It is inverted
It is doubled
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the domain and codomain of the transformation T?
Both are R2
Domain is R3, codomain is R2
Domain is R2, codomain is R3
Both are R3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of the transformation T?
The entire R3 space
The xz-plane in R3
The xy-plane in R3
The yz-plane in R3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the range differ from the codomain in this transformation?
The range and codomain are the same
The range is a line, codomain is a plane
The range is R3, codomain is a plane
The range is a plane, codomain is R3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important not to confuse the codomain with the range?
They are unrelated
They are always the same
The codomain is a subset of the range
The range is a subset of the codomain
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of an n by n square matrix, what are the domain and codomain of T(x) = Ax?
Both are Rn
Domain is Rn, codomain is Rn+1
Domain is Rn+1, codomain is Rn
Both are Rn+1
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