mathswithmuza on Instagram: "When the determinant of a matrix is negative, it signifies that the transformation flips the orientation of space. In two dimensions, this means that any shape transformed by the matrix will not only be stretched, rotated, or skewed but also reflected across an axis. This can be visualized by considering how a transformation affects the standard basis vectors: a positive determinant maintains their order, while a negative determinant swaps them, indicating a reflecti