Practice Filling The Cost Table (44.1.7) - Matrix multiplication - Data Structures and Algorithms in Python
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Filling the Cost Table

Practice - Filling the Cost Table

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the time complexity of multiplying two matrices?

💡 Hint: Think about the dimensions involved.

Question 2 Easy

What should you ensure when multiplying two matrices?

💡 Hint: Consider the dimensions.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity for the naive algorithm for matrix multiplication?

O(n^2)
O(n^3)
O(n^4)

💡 Hint: Think about how you would multiply the matrices step by step.

Question 2

True or False: The order of multiplication does not impact the final result of matrix multiplication.

True
False

💡 Hint: Consider how fewer operations can arise from specific orders.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are given four matrices with dimensions [5, 20], [20, 10], [10, 30], [30, 5]. How would you determine the optimal order of multiplication?

💡 Hint: Break down and compute the costs for grouping different matrices.

Challenge 2 Hard

Create a dynamic programming function that can calculate the cost of multiplying 'n' matrices given their dimensions.

💡 Hint: Use a two-dimensional array for storing results—think of how each subproblem builds on previous results.

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Reference links

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