What is the result of applying a linear transformation to a vector using a matrix?

Understanding Linear Transformations and Eigenvectors

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Sophia Harris
FREE Resource
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The vector is scaled and possibly rotated.
The vector is translated.
The vector remains unchanged.
The vector is rotated.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about eigenvectors?
They are vectors that always have a magnitude of one.
They are vectors that always lie on the x-axis.
They are vectors that do not change direction under a transformation.
They are always perpendicular to each other.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the eigenvalue associated with the vector (2, 2)?
1
2
0
3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the eigenvalue associated with the vector (-3, 3)?
2
0
1
3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the vector (2, 2) under the given transformation?
It is scaled by a factor of 1.
It remains unchanged.
It is scaled by a factor of 3.
It is rotated by 90 degrees.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the vector (-3, 3) transform under the given matrix?
It is scaled by a factor of 3.
It is scaled by a factor of 0.
It remains unchanged.
It is scaled by a factor of 2.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the effect of the transformation on the unit circle along the line y = x?
It is stretched by a factor of 3.
It is compressed by a factor of 3.
It is rotated by 45 degrees.
It remains unchanged.
Create a free account and access millions of resources
Similar Resources on Quizizz
11 questions
Eigenvalues and Eigenvectors Concepts

Interactive video
•
11th Grade - University
11 questions
Eigenvalues and Quadratic Equations

Interactive video
•
10th - 12th Grade
11 questions
Eigenvalues and Eigenvectors Concepts

Interactive video
•
10th - 12th Grade
11 questions
The applications of eigenvectors and eigenvalues - That thing you heard in Endgame has other uses

Interactive video
•
11th Grade - University
11 questions
Matrix Operations and Eigenvalues

Interactive video
•
9th - 12th Grade
11 questions
Finding Eigenvalues and Eigenvectors

Interactive video
•
9th - 12th Grade
11 questions
Eigenvalues and Eigenvectors Concepts

Interactive video
•
10th - 12th Grade
11 questions
Eigenvalues and Eigenvectors Concepts

Interactive video
•
10th - 12th Grade
Popular Resources on Quizizz
15 questions
Multiplication Facts

Quiz
•
4th Grade
25 questions
SS Combined Advisory Quiz

Quiz
•
6th - 8th Grade
40 questions
Week 4 Student In Class Practice Set

Quiz
•
9th - 12th Grade
40 questions
SOL: ILE DNA Tech, Gen, Evol 2025

Quiz
•
9th - 12th Grade
20 questions
NC Universities (R2H)

Quiz
•
9th - 12th Grade
15 questions
June Review Quiz

Quiz
•
Professional Development
20 questions
Congruent and Similar Triangles

Quiz
•
8th Grade
25 questions
Triangle Inequalities

Quiz
•
10th - 12th Grade
Discover more resources for Mathematics
40 questions
Week 4 Student In Class Practice Set

Quiz
•
9th - 12th Grade
25 questions
Triangle Inequalities

Quiz
•
10th - 12th Grade
10 questions
Right Triangles: Pythagorean Theorem and Trig

Quiz
•
11th Grade
10 questions
Exponential Growth and Decay Word Problems

Quiz
•
9th Grade
45 questions
Week 3.5 Review: Set 1

Quiz
•
9th - 12th Grade
17 questions
High School Survival Guide

Lesson
•
9th - 12th Grade
15 questions
Factoring Quadratics

Quiz
•
9th Grade