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 the definition of an inverse matrix?
💡 Hint: Think about multiplication and identity.
Question 2
Easy
If A is a 3x3 matrix, what type of matrix is it if A has an inverse?
💡 Hint: Think about the dimensions of the matrix.
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 condition for a matrix A to be invertible?
- A must be square
- A must be diagonal
- A must have all non-zero elements
💡 Hint: Think about matrix dimensions.
Question 2
True or False: The inverse of a matrix is also a matrix.
- True
- False
💡 Hint: Consider what types of mathematical objects matrices are.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the matrix A = [[2, -1, 0], [-1, 2, -1], [0, -1, 2]], compute the inverse, if it exists, and solve the system Ax = b for b = [1, 0, 0].
💡 Hint: First, calculate the determinant of A to ensure it is non-zero. Then apply the formula for the inverse and solve.
Question 2
Under what conditions would an inverse matrix yield a significantly different solution than LU decomposition in solving a linear system?
💡 Hint: Consider examples of matrices that may lead to instability.
Challenge and get performance evaluation