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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the result of multiplying a 1x1 matrix?
💡 Hint: Consider the definition of base case.
Question 2
Easy
What is the time complexity for multiplying two matrices of sizes 2x3 and 3x4?
💡 Hint: Use the formula for time complexity of matrix multiplication.
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 time complexity of multiplying two matrices?
- O(n^2)
- O(n^3)
- O(n*m*p)
💡 Hint: Recall the multiplication formula used in class.
Question 2
True or False: The order of multiplication does not affect the final outcome of matrix multiplication.
- True
- False
💡 Hint: Think about how the associative property impacts operations.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For four matrices A(10x20), B(20x10), C(10x30), and D(30x40), calculate all possible multiplication orders using dynamic programming. What is the optimal order?
💡 Hint: Map out the orders systematically and look for the lowest total operations.
Question 2
Create a dynamic programming table that outlines the costs for multiplying P(1x100), Q(100x1), R(1x50), and S(50x10). Include calculations that lead to a minimum value.
💡 Hint: Break down matrix segments as shown in class and analyze each aspect.
Challenge and get performance evaluation