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"The operater '<<-' opertor is used a value to an object in an environment that is different from the current environment. Below are two functions that are used to create a special object that stores a numeric matrix and caches its inverse. The inverse of matrix can be calculated 'solve' function in R package.

which is really a list containing a function:

1. set: set the value of the matrix
2. get: get the value of the matrix
3. setInverse: set the value of the inverse of matrix
4. getInverse: get the value of the inverse of matrix.

makeCacheMatrix <- function(x = matrix()) { m <- NULL set <- function(y) { x <<- y m <<- NULL } get <- function() x setInverse <- function(solve) m <<- solve
getInverse <- function() m list(set = set, get = get, setInverse = setInverse, getInverse= getInverse) }

" - calculates the inverse of the special 'matrix' created with the above function.

• checks to see first if the inverse of matrix is already calculated.
• if the inverse of matrix is already calculated, it gets inverse of matrix from cache and skips the computation. -if not, calculates the inverse of matrix of the data and sets the value of the inverse of matrix in the cache via the setInverse function."

cacheSolve <- function(x, ...) {

m <- x$getInverse()
if(!is.null(m)) {
    message("getting cached data")
    return(m)
}
data <- x$get()
m <- solve(data, ...)
x$setInverse(m)
m

}