Education, Artificial Intelligence, Computer Vision.
0 and 𝜆𝑖 ∈ 𝐑 for i = 1, 2, 3, … Ellipsoids Positive definite matrices have an interesting property: if 𝐴 is a positive definite matrix, then 𝑥⃗⊺𝐴𝑥⃗ = 1 represents an ellipsoid in 𝐑𝐧 centered at zero. 𝐑𝐧 is the n-dimensional real space, and 𝑥⃗ ∈ 𝐑𝐧. The principal axes of this ellipsoid are