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
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the Hilbert matrix.
💡 Hint: Think about how its elements are calculated.
Question 2
Easy
What property defines a magic square?
💡 Hint: Remember the unique attribute of a magic square.
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 unique property of a Hilbert matrix?
- All elements are zeros
- Defined by H(i,j) = 1/(i+j)
- Elements are derived from sums of indices
💡 Hint: Think about how the elements are calculated.
Question 2
True or False: A magic square can have unequal sums across its rows.
- True
- False
💡 Hint: Recall the property of magic squares.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct a 4x4 Hilbert matrix in MATLAB and calculate its inverse. Discuss the implications of numerical stability.
💡 Hint: Focus on matrix properties and how inverses can behave.
Question 2
Create and validate a magic square of size 5 in MATLAB. Prove that all rows, columns, and diagonals yield the same sum.
💡 Hint: Remember to calculate sums in multiple directions.
Challenge and get performance evaluation