The discussion centers on the confusion regarding the determinant of a matrix P, specifically why it can be both +3 and -3. The key point is that the notation |P| represents the determinant of matrix P, not its absolute value, leading to the conclusion that if |det(P)| = 3, then det(P) can indeed be ±3. Participants clarify that the distinction between uppercase P (matrix) and lowercase p (number) is crucial for understanding the problem. An example is provided to illustrate that equations involving absolute values yield two solutions, reinforcing the concept. The conversation concludes with a resolution of the initial confusion, affirming the correct interpretation of the determinant.
