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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a requirement for two matrices to be multiplied?
💡 Hint: Think about the dimensions of both matrices.
Question 2
Easy
What is the computational cost of multiplying a 5x3 matrix with a 3x2 matrix?
💡 Hint: Use the formula: rows_A * cols_A * cols_B.
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
How many computations does it take to multiply matrices A (m x n) and B (n x p)?
- O(m*n*p)
- O(n)
- O(m+n)
💡 Hint: Consider the dimensions' multiplication in your calculations.
Question 2
True or False: Matrix multiplication is commutative.
- True
- False
💡 Hint: Think about matrix properties and examples to support your answer.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Calculate the minimum number of multiplications needed for matrices A (10x100), B (100x5), C (5x50), D (50x200) using dynamic programming principles.
💡 Hint: Evaluate each combination to find the least expensive set of operations.
Question 2
Describe how the choice of multiplication order impacts the dimensions of intermediate matrices and the overall cost. Give an example with specific sizes.
💡 Hint: Illustrate using dimensions and remember that earlier combinations can lead to bigger matrices.
Challenge and get performance evaluation