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

21.3.2 - Scalar Multiplication

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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!

Challenge 2 Hard

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

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

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