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66makeCacheMatrix <- function (x = matrix ()) {
77
8+ # # Initialize the inverse property
9+ i <- NULL
10+
11+ # # Method to set the matrix
12+ set <- function ( matrix ) {
13+ m <<- matrix
14+ i <<- NULL
15+ }
16+
17+ # # Method the get the matrix
18+ get <- function () {
19+ # # Return the matrix
20+ m
21+ }
22+
23+ # # Method to set the inverse of the matrix
24+ setInverse <- function (inverse ) {
25+ i <<- inverse
26+ }
27+
28+ # # Method to get the inverse of the matrix
29+ getInverse <- function () {
30+ # # Return the inverse property
31+ i
32+ }
33+
34+ # # Return a list of the methods
35+ list (set = set , get = get ,
36+ setInverse = setInverse ,
37+ getInverse = getInverse )
38+
839}
940
1041
1142# # Write a short comment describing this function
1243
1344cacheSolve <- function (x , ... ) {
14- # # Return a matrix that is the inverse of 'x'
45+
46+ m <- x $ getInverse()
47+
48+
49+ if ( ! is.null(m ) ) {
50+ message(" getting cached data" )
51+ return (m )
52+ }
53+
54+ # # Get the matrix from our object
55+ data <- x $ get()
56+
57+ # # Calculate the inverse using matrix multiplication
58+ m <- solve(data ) %*% data
59+
60+ # # Set the inverse to the object
61+ x $ setInverse(m )
62+
63+ # # Return the matrix
64+ m
1565}
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