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
Exercise instructions
Add the vector
x
to the vectory
and print the result.Multiply the vector
z
by the scalar2
.Multiply the vectors
x
andy
to each other, component-wise, and print the result.Try to add the vector
x
to the vectorz
. 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 + ___)