Which of the following is a necessary condition for a matrix to be diagonalizable?

Linear Algebra Quiz _ Week 5 - Diagonalization-Dyn. Systems

Quiz
•
Mathematics
•
University
•
Easy
Bobby Bobby
Used 1+ times
FREE Resource
13 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The matrix must be square.
The matrix must have real eigenvalues.
The matrix must have distinct eigenvalues.
The matrix must have orthogonal columns.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the eigenvectors of a matrix and its diagonalization?
The eigenvectors form a diagonal matrix.
The eigenvectors are the columns of the matrix used to diagonalize.
The eigenvectors determine the eigenvalues.
The eigenvectors are not involved in diagonalization.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a matrix is not diagonalizable, what could be the possible cause?
The matrix has complex eigenvalues.
The matrix does not have enough linearly independent eigenvectors.
The matrix has repeated eigenvalues.
The matrix is symmetric.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When all eigenvectors are linearly independent.
When the matrix is square.
When the eigenvalue is positive.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The state of the system at any given time.
The transition rule between states.
The initial condition of the system.
The solution of the system.
Create a free account and access millions of resources
Similar Resources on Quizizz
15 questions
Matrices

Quiz
•
10th Grade - University
11 questions
Solving Systems of Equations Using Augmented Matrices

Quiz
•
12th Grade - University
13 questions
System of Equations Using Matrix

Quiz
•
11th Grade - University
10 questions
Hard math test

Quiz
•
University
8 questions
Stat 147 Class Activity on PCA

Quiz
•
University
13 questions
Solving a System with a Matrix

Quiz
•
11th Grade - University
9 questions
0B2 Wk6 Tutorial MCQs (Determinants)

Quiz
•
University
15 questions
Solving System of Equations Matrix

Quiz
•
11th Grade - University
Popular Resources on Quizizz
15 questions
Multiplication Facts

Quiz
•
4th Grade
20 questions
Math Review - Grade 6

Quiz
•
6th Grade
20 questions
math review

Quiz
•
4th Grade
5 questions
capitalization in sentences

Quiz
•
5th - 8th Grade
10 questions
Juneteenth History and Significance

Interactive video
•
5th - 8th Grade
15 questions
Adding and Subtracting Fractions

Quiz
•
5th Grade
10 questions
R2H Day One Internship Expectation Review Guidelines

Quiz
•
Professional Development
12 questions
Dividing Fractions

Quiz
•
6th Grade