Check whether a symmetric matrix is negative definite — the mirror image of positive definite.
Check whether a symmetric matrix is negative definite — the mirror image of positive definite.
A symmetric matrix is negative definite exactly when its negation is positive definite, which translates to the leading principal minors alternating in sign, starting negative (the 1×1 minor negative, the 2×2 minor positive, the 3×3 minor negative, and so on). The calculator computes each leading minor and checks this pattern.