
Eigenvalue Method for Solving Systems
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial form of the system of equations given in the problem?
X equals A times X Prime
A Prime equals X times A
A equals X times X Prime
X Prime equals A times X
Tags
CCSS.HSA.REI.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to determine the eigenvalues of matrix A?
Row reduction method
Determinant method
Gaussian elimination
Matrix inversion method
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the multiplicity of the eigenvalue Lambda equals 2?
Four
One
Two
Three
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding eigenvectors for Lambda equals 1?
Using the characteristic polynomial
Finding the inverse of matrix A
Solving the system using Gaussian elimination
Setting up the equation for Lambda equals 1
Tags
CCSS.6.EE.C.9
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result when V3 is set as a free variable for Lambda equals 1?
V1 equals 1
V2 equals 1
V1 and V2 equal zero
V3 equals zero
Tags
CCSS.6.EE.C.9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't two linearly independent eigenvectors be determined for Lambda equals 2?
The matrix is singular
The eigenvalue has a defect
The eigenvalue is complex
The eigenvectors are identical
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding a generalized eigenvector?
To simplify the matrix
To find a third independent solution
To eliminate free variables
To reduce the matrix size
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