21.3.2. Scalar Multiplication

Try these first

1. 1.

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

   Hint

   Multiply each element by 4.

2. 2.

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

   Hint

   Multiply each element by 5.

3. 3.

   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.

4. 4.

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

   • True
   • False

   Hint

   Think about what happens when you multiply numbers.

5. 5.

   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!

6. 6.

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

   Hint

   You’re just stretching the matrix away.