
Eigenvalues and Eigenvectors Concepts

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the eigenvalue given in the problem for the 3x3 matrix?
1
2
4
3
Tags
CCSS.6.EE.C.9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed on the identity matrix in the eigenvector equation setup?
Multiplication
Subtraction
Division
Addition
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the augmented matrix, which column lacks a pivot, indicating a free variable?
Column three
Column two
Column one
None
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of x3 in the reduced echelon form of the augmented matrix?
1
0
x2
x1
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the free variable x2 parameterized in the solution?
x2 = -3t
x2 = 0
x2 = t
x2 = 1
Tags
CCSS.6.EE.C.9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for x1 in terms of the parameter t?
x1 = 3t
x1 = 0
x1 = -3t
x1 = t
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What form do the eigenvectors take when parameterized by t?
(t, -3t, 0)
(0, 0, 0)
(-3t, t, 0)
(t, t, t)
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