A magic square is an matrix that has the following 2 properties: 1) It is filled with the numbers 1,2,3, . . . . . , !, and each number occurs once and only once. 2) The sum of the elements in each row, in each column, and in the two diagonals is the same value. An example of magic square is as follows.

You are asked to write a Java code that can randomly generate one magic square. Your code will randomly generate a 3X3 matrix that satisfies 1) and then check if the matrix satisfies 2); If not, the Java code will continue generating another random matrix that satisfies 1) until a generated matrix that satisfies 2).

Question 1: Magic Matrix A magic square is an n x n matrix that has the following 2 properties: 1) It is filled with the numbers 1,2,3,....., n?, and each number occurs once and only once. 2) The sum of the elements in each row, in each column, and in the two diagonals is the same value. An example of magic square is as follows. 6 7 2 1 5 9 8 3 4 You are asked to write a Java code that can randomly generate one magic square. Your code will randomly generate a 3x3 matrix that satisfies 1) and then check if the matrix satisfies 2); If not, the Java code will continue generating another random matrix that satisfies 1) until a generated matrix that satisfies 2). Sample outputs could be as follows: Sample 1: The randomly generated matrix is: 4 3 8 9 5 1 2 7 6