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
Define an eigenvector in your own words.
💡 Hint: Think about how a vector behaves during scaling.
Question 2
Easy
What is the relationship between eigenvalues and eigenvectors?
💡 Hint: Consider the equation T(v) = λv.
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 an eigenvalue?
- A vector that defines direction
- A scalar that represents scaling
- The transformation itself
💡 Hint: Think about what is left unchanged in the direction of an eigenvector.
Question 2
True or False: Eigenvectors can be the zero vector.
- True
- False
💡 Hint: Remember the definition of eigenvectors and their importance.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a matrix A = [[3, 1], [0, 2]]. Calculate the eigenvalues and eigenvectors.
💡 Hint: Start by plugging λ back into (A − λI).
Question 2
Explore a real-world scenario where an engineer must consider the eigenvalues of a structure to ensure stability. Explain the implications of the eigenvalues on design choices.
💡 Hint: Think about what happens if the natural frequency matches an external force frequency.
Challenge and get performance evaluation