Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is an eigenvalue?
💡 Hint: Think about how a matrix can transform a vector.
Question 2
Easy
Define an eigenvector.
💡 Hint: Look for vectors that keep their direction after transformation.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the characteristic equation used to find eigenvalues?
- det(A−λI)=0
- det(A)=0
- A−λI=0
💡 Hint: Think about how we determine if a matrix is singular.
Question 2
True or False: An eigenvector can be the zero vector.
- True
- False
💡 Hint: Remember the definition of an eigenvector.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the matrix C = [[3, 0], [0, 4]], find the eigenvalues and describe their significance for a physical system.
💡 Hint: Use the characteristic polynomial to determine the eigenvalues.
Question 2
Consider a dynamics problem in civil engineering where a building's stiffness matrix K has eigenvalues of 2 and 5. How would these eigenvalues affect the building's response?
💡 Hint: Think about the implications of natural frequencies in structural dynamics.
Challenge and get performance evaluation