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 equation do you use to find eigenvectors?
💡 Hint: Refer to the eigenvalue's definition and the transformation applied.
Question 2
Easy
What is the basic property of an eigenvector?
💡 Hint: Remember that eigenvalues indicate scaling effects.
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
- A - λI = 0
- A = λI
💡 Hint: Focus on the determinant process involving the eigenvalue.
Question 2
True or False: Eigenvectors for distinct eigenvalues are linearly independent.
- True
- False
💡 Hint: Consider the implications of distinct eigenvalues on vector spaces.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given matrix C = [[1, 2, 0], [0, 3, 4], [0, 0, 5]], find the eigenvalues and corresponding eigenvectors.
💡 Hint: Use the determinant method for each eigenvalue to construct the system.
Question 2
Consider the significance of eigenvectors in earthquake engineering. How would an engineer apply these concepts?
💡 Hint: Reflect on the role of eigenvalues in assessing resonance and stability.
Challenge and get performance evaluation