RREF Matrix

Have the function RREFMatrix(strArr) take strArr which will be an array of integers represented as strings. Within the array there will also be "<>" elements which represent break points. The array will make up a matrix where the (number of break points + 1) represents the number of rows. Here is an example of how strArr may look: ["5","7","8","<>","1","1","2"]. There is one "<>", so 1 + 1 = 2. Therefore there will be two rows in the array and the contents will be row1=[5 7 8] and row2=[1 1 2]. Your program should take the given array of elements, create the proper matrix, and then through the process of Gaussian elimination create a reduced row echelon form matrix (RREF matrix). For the array above, the resulting RREF matrix would be: row1=[1 0 3], row2=[0 1 -1]. Your program should return that resulting RREF matrix in string form combining all the integers, like so: "10301-1". The matrix can have any number of rows and columns (max=6x6 matrix and min=1x1 matrix). The matrix will not necessarily be a square matrix. If the matrix is an nx1 matrix it will not contain the "<>" element. The integers in the array will be such that the resulting RREF matrix will not contain any fractional numbers.

Examples

Input: ["2","4","8","<>","6","12","14"]
Output: 120001

Input: ["2","2","4","<>","1","1","8","<>","7","6","5"]
Output: 100010001