Practice Scalar Multiplication - 21.3.2 | 21. Linear Algebra | Mathematics (Civil Engineering -1)
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21.3.2 - Scalar Multiplication

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the result of multiplying the matrix [[2, 3], [4, 5]] by the scalar 4?

💡 Hint: Multiply each element by 4.

Question 2

Easy

If A = [[1, 1], [1, 1]] and we multiply by 5, what is the resulting matrix?

💡 Hint: Multiply each element by 5.

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 happens to each element of a matrix during scalar multiplication?

  • They are added to the scalar
  • They are multiplied by the scalar
  • They are divided by the scalar

💡 Hint: Recall how we did operations with scalars.

Question 2

True or False: Scalar multiplication can change the size of a matrix.

  • True
  • False

💡 Hint: Think about what happens when you multiply numbers.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have a matrix G = [[3, 4], [5, 6]] and a scalar of -1. What is the resulting matrix after scalar multiplication?

💡 Hint: Don't forget about the negative sign!

Question 2

Consider matrix H = [[0, 1], [2, 3]] and scalar 10. Calculate 10H.

💡 Hint: You’re just stretching the matrix away.

Challenge and get performance evaluation