Determinant of (M² + MN²) is 0
Determinant of (M² + MN²) ≥ 1
There is a 3x3 non-zero matrix U such that (M² + MN²)U is the zero matrix
For a 3x3 matrix U, if (M² + MN²)U equals the zero matrix, then U is the zero matrix
M² = N⁴ ⇒ M² - N⁴ = 0 ⇒ (M - N²)(M + N²) = 0