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 best approximation in your own words.
💡 Hint: Think about it as finding the nearest point.
Question 2
Easy
What does the error vector signify?
💡 Hint: Look for a relationship between the original and approximated values.
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 best way to define best approximation?
- The farthest vector from the original
- The closest vector in a subspace
- Any random vector from the space
💡 Hint: Refer back to the definition discussed in class.
Question 2
The error vector is known for being orthogonal to what?
- True
- False
💡 Hint: Remember the definition of the Projection Theorem.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a vector v = (4, 3) and a subspace defined by w1 = (1, 1) and w2 = (1, -1), find the best approximation vector v_b.
💡 Hint: Break down the steps using projection formulas.
Question 2
In a practical setting, if you have a data set with noise and want to fit your model optimally using least squares, how would you identify the best parameters?
💡 Hint: Utilize derivatives to find minima in your functions.
Challenge and get performance evaluation