The Algebra of Vectors

Vectors can be made to make new vectors much in the same way that numbers can.

To add two vectors together in R, simply use the + command.

Vectors can also be scaled via multiplication by a real number (or scalar), using the * command.

Multiplication of two vectors is a trickier topic theoretically, but in R, component-wise multiplication of two vectors is legal and accomplished using the * command.

The vectors x, y, and z have been loaded for you.

This exercise is part of the course

Linear Algebra for Data Science in R

View Course

Exercise instructions

Add the vector x to the vector y and print the result.
Multiply the vector z by the scalar 2.
Multiply the vectors x and y to each other, component-wise, and print the result.
Try to add the vector x to the vector z. What happens?

Hands-on interactive exercise

Have a go at this exercise by completing this sample code.

# Add x to y and print
print(x ___ y)

# Multiply z by 2 and print
print(2 ___ z)

# Multiply x and y by each other and print
print(___ ___ y)

# Add x to z, if possible, and print
print(x + ___)

Edit and Run Code