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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the time complexity for multiplying two matrices of sizes m x n and n x p?
💡 Hint: Think about the dimensions of the matrices.
Question 2
Easy
Define the associative property in multiplication.
💡 Hint: Consider how grouping affects the 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 for multiplying two matrices?
- O(n)
- O(n^2)
- O(m * n * p)
💡 Hint: Think about the sizes of the involved matrices.
Question 2
Matrix multiplication is associative. True or False?
- True
- False
💡 Hint: Recall the definition of associativity.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A matrix chain multiplication problem involves matrices A (10x20), B (20x30), and C (30x40). Calculate the cost of both possible multiplication orders and determine the optimal order.
💡 Hint: Work through the associative property and costs step by step.
Question 2
Given matrices of sizes (10x100), (100x5), and (5x50), determine the efficient multiplication order to minimize computational costs. Compare all possible pairs and demonstrate the resulting total cost.
💡 Hint: Draw a cost diagram to visualize and solve the problem effectively.
Challenge and get performance evaluation