
Eigenvalues and Eigenvectors Concepts
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Jackson Turner
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for a matrix A to be diagonalizable?
Matrix A can be expressed as a product of three matrices.
Matrix A is a square matrix.
Matrix A has only zero entries.
Matrix A is invertible.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which matrices are involved in the diagonalization of matrix A?
Matrices X and Y
Matrices P and D
Matrices B and C
Matrices Q and R
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the eigenvalues of matrix A as mentioned in the video?
Lambda 1 = 3, Lambda 2 = 4
Lambda 1 = 0, Lambda 2 = 1
Lambda 1 = -2, Lambda 2 = -3
Lambda 1 = 1, Lambda 2 = 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between eigenvectors and matrix P?
Eigenvectors are the columns of matrix P.
Eigenvectors are the diagonal of matrix P.
Eigenvectors are the rows of matrix P.
Eigenvectors are unrelated to matrix P.
Tags
CCSS.HSN.VM.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is vector x decomposed in terms of eigenvectors?
As a quotient of two vectors.
As a sum of two vectors, each multiplied by a constant.
As a product of two vectors.
As a difference of two vectors.
Tags
CCSS.HSN.VM.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the constants C1 and C2 in the decomposition of vector x?
C1 = 7, C2 = 6
C1 = 5, C2 = 3
C1 = 1, C2 = 0
C1 = 2, C2 = 4
Tags
CCSS.HSA.REI.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is matrix A times vector x calculated using eigenvalues?
By multiplying each eigenvector by its corresponding eigenvalue and constant.
By adding the eigenvalues together.
By subtracting the eigenvalues from each other.
By dividing the eigenvalues by the constants.
Tags
CCSS.HSN.VM.C.11
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever
or continue with

Microsoft
%20(1).png)
Apple
Others
Already have an account?
Similar Resources on Wayground
6 questions
Learn how to determine the magnitude and direction of a vector
Interactive video
•
11th Grade - University
4 questions
Vectors: Theory
Interactive video
•
10th - 12th Grade
7 questions
What is Revit?
Interactive video
•
9th - 12th Grade
11 questions
Eigenvalues and Eigenvectors Concepts
Interactive video
•
11th Grade - University
6 questions
Polar Coordinates Summary
Interactive video
•
11th - 12th Grade
2 questions
GCSE Secondary Maths Age 13-17 - Geometry & Measures: Translation - Explained
Interactive video
•
10th - 12th Grade
8 questions
GCSE Secondary Maths Age 13-17 - Pythagoras & Trigonometry: Vector - Explained
Interactive video
•
10th - 12th Grade
11 questions
Differentiation and Trigonometric Functions
Interactive video
•
10th - 12th Grade
Popular Resources on Wayground
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
54 questions
Analyzing Line Graphs & Tables
Quiz
•
4th Grade
22 questions
fractions
Quiz
•
3rd Grade
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
15 questions
Equivalent Fractions
Quiz
•
4th Grade
Discover more resources for Mathematics
18 questions
SAT Prep: Ratios, Proportions, & Percents
Quiz
•
9th - 10th Grade
12 questions
Parallel Lines Cut by a Transversal
Quiz
•
10th Grade
12 questions
Add and Subtract Polynomials
Quiz
•
9th - 12th Grade
10 questions
Elijah McCoy: Innovations and Impact in Black History
Interactive video
•
6th - 10th Grade
16 questions
Converting Improper Fractions to Mixed Numbers
Quiz
•
4th - 10th Grade
15 questions
Intro to Trig Ratios
Quiz
•
10th Grade
10 questions
Solving One Step Equations: Key Concepts and Techniques
Interactive video
•
6th - 10th Grade
12 questions
Triangle Inequality Theorem
Quiz
•
10th Grade