Education, Artificial Intelligence, Computer Vision.
transformations in Part 2 of the series. The change of basis matrix is the inverse of the eigenvector matrix 𝑄. Since 𝑄 is an orthonormal matrix, the inverse of 𝑄 is 𝑄⊺ which is our change of basis matrix. Let 𝑦⃗ = 𝑄⊺𝑥⃗. 𝑦⃗ is the vector 𝑥⃗ wrt the eigenvector basis. Now let’s see if we can get an