added a python script that finds inverse of a matrix

FindInverse.py

@@ -0,0 +1,54 @@
+def transpose(matrix):
+    return [[matrix[j][i] for j in range(len(matrix))] for i in range(len(matrix[0]))]
+
+def matrix_minor(matrix, row, col):
+    return [row[:col] + row[col+1:] for row in (matrix[:row] + matrix[row+1:])]
+
+def matrix_determinant(matrix):
+    if len(matrix) == 2:
+        return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0]
+
+    determinant = 0
+    for col in range(len(matrix)):
+        determinant += ((-1) ** col) * matrix[0][col] * matrix_determinant(matrix_minor(matrix, 0, col))
+    return determinant
+
+def matrix_inverse(matrix):
+    determinant = matrix_determinant(matrix)
+    if determinant == 0:
+        raise ValueError("The matrix is singular and does not have an inverse.")
+
+    if len(matrix) == 2:
+        return [[matrix[1][1] / determinant, -matrix[0][1] / determinant],
+                [-matrix[1][0] / determinant, matrix[0][0] / determinant]]
+
+    cofactors = []
+    for row in range(len(matrix)):
+        cofactor_row = []
+        for col in range(len(matrix)):
+            minor = matrix_minor(matrix, row, col)
+            cofactor = ((-1) ** (row + col)) * matrix_determinant(minor)
+            cofactor_row.append(cofactor)
+        cofactors.append(cofactor_row)
+
+    adjugate = transpose(cofactors)
+    inverse = [[adjugate[i][j] / determinant for j in range(len(adjugate))] for i in range(len(adjugate))]
+
+    return inverse
+
+# Define your square matrix
+matrix = [[2, 1, 1],
+          [1, 3, 2],
+          [1, 0, 0]]
+
+# Calculate the matrix inverse
+try:
+    inverse_matrix = matrix_inverse(matrix)
+    print("Original Matrix:")
+    for row in matrix:
+        print(row)
+    print("\nInverse Matrix:")
+    for row in inverse_matrix:
+        print(row)
+except ValueError as e:
+    print(e)