cachematrix.R

## The following functions implement a system of caching and reusing the results of the inverse of a matrix

## Acts as a data structure to store the cached inverse.
makeCacheMatrix <- function(x = matrix()) {
  i <- NULL
  set <- function(y) {
    x <<- y
    i <<- NULL
  }
  get <- function() x
  setinverse <- function(inverse) i <<- inverse
  getinverse <- function() i
  list(set = set, get = get,
       setinverse = setinverse,
       getinverse = getinverse)
}

## The following function calculates the inverse of the matrix stored in the data structure created with the above function. 
## However, it first checks to see if the inverse has already been calculated. 
## If so, it gets the inverse from the cache and skips the computation. 
## Otherwise, it calculates the inverse of the data and sets the value of the inverse in the cache via the setinverse function.

cacheSolve <- function(x, ...) {
  ## Return a matrix that is the inverse of 'x'
  i <- x$getinverse()
  if(!is.null(i)) {
    message("getting cached data")
    return(i)
  }
  data <- x$get()
  i <- solve(data, ...)
  x$setinverse(i)
  i
}