6.2 - Dynamic Programming and Matrix Multiplication
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Practice Questions
Test your understanding with targeted questions
What is the basic requirement to multiply two matrices?
💡 Hint: Think about the dimensions of both matrices.
Is matrix multiplication commutative?
💡 Hint: Consider if you switch the order of two matrices.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main goal of dynamic programming in matrix multiplication?
💡 Hint: Consider why we care about the order when multiplying multiple matrices.
True or False: Matrix multiplication is associative but not commutative.
💡 Hint: Think about how changing the order affects the product.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given five matrices M1 (10x20), M2 (20x30), M3 (30x10), M4 (10x5), and M5 (5x40), determine the optimal order for multiplication to minimize computation, detailing your approach.
💡 Hint: Build a cost table using dimensions to track minimal multiplication costs.
Explain how different orders (left-to-right vs right-to-left) in matrix multiplication impact computational cost, using Fibonacci or large matrices as examples.
💡 Hint: Consider the size of intermediate products when choosing multiply orders.
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