
Linear Transformations and Their Properties

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

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of translating a vector U by a vector A?
U - A
U + A
U / A
U * A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first question we ask about a transformation?
Is it scalable?
Is it complex?
Is it linear?
Is it reversible?
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the translation transformation not considered linear?
It changes the vector's direction.
It fails the summation test.
It multiplies the vector by a scalar.
It divides the vector by a scalar.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you add two vectors first and then transform the result?
You get U + V / A
You get U + V * A
You get U + V - A
You get U + V + A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a dead giveaway of a transformation not being linear?
The image of the zero vector is not the zero vector.
The transformation is reversible.
The transformation is complex.
The transformation is scalable.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true for any linear transformation regarding the zero vector?
The image of the zero vector is a non-zero vector.
The image of the zero vector is the zero vector.
The image of the zero vector is undefined.
The image of the zero vector is a scalar.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the questions of eigenvalues and eigenvectors when a transformation is not linear?
They become more complex.
They become irrelevant.
They become more applicable.
They become simpler.
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