JavaScript isn't enabled in your browser, so this file can't be opened. Enable and reload.

1 of 11

7-5

2 of 11

Application: https://youtu.be/QW6uINn7uGk

3 of 11

4 of 11

5 of 11

How about non-symmetric?

6 of 11

7 of 11

8 of 11

Spectral Decomposition

= [ λ₁Pe₁ λ₂Pe₂  λ_nPe_n ]P^T = [ λ₁u₁ λ₂u₂  λ_nu_n ]P^T

Let P = [ u₁ u₂  u_n ] and D = diag[ λ₁ λ₂  λ_n ].

Orthonormal basis

A = PDP^T

= P[ λ₁e₁ λ₂e₂  λ_ne_n ]P^T

nx1 1xn

9 of 11

10 of 11

11 of 11