Practice Pseudo Code - 6.5.1 | 6. Matrix Multiplication | Design & Analysis of Algorithms - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is required for two matrices A and B to be multiplicable?

💡 Hint: Think about the dimensions of both matrices.

Question 2

Easy

Explain what is meant by the cost of matrix multiplication.

💡 Hint: Consider how many operations are needed to calculate the entries.

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 must be true for two matrices A and B to be multiplied?

  • A's rows should equal B's columns
  • A's columns should equal B's rows
  • A's rows and columns must be equal

💡 Hint: Analyze the matrix dimensions carefully.

Question 2

Matrix multiplication is commutative.

  • True
  • False

💡 Hint: Consider how switching two matrices changes the product.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given matrices A(5x10), B(10x3), and C(3x8), calculate the total operations for both (AB)C and A(BC). Which order is more efficient?

💡 Hint: Use the dimensions to derive the number of operations required explicitly.

Question 2

Imagine you have four matrices of varying dimensions. Devise an algorithm to compute the most operationally efficient multiplication order. Write the pseudo-code.

💡 Hint: Think in terms of breaking down the problem into smaller segments and compute their costs recursively.

Challenge and get performance evaluation