Great and very helpful. THANKS.

, You're so good sir. Well understood

Thank you for making this video.

This was really helpful. Thank you!

@arnoldyim4765

4 жыл бұрын

I'm glad that it was helpful!

Very well-made video

Great explanation . Sir please make video on bilinear form.

thank you

saving my career

In your example, what happens if A is 3x3? with 3 different lambda values? How do I go about changing variables then?

@arnoldyim4765

4 жыл бұрын

If A is 3x3 and you have 3 eigenvalues, you'll want to find an unit eigenvector for each eigenvalue. Then you can make a matrix P with those unit eigenvectors as columns (if you have 3 distinct eigenvalues you this matrix P will have orthonormal columns). Your change of variables would still be x=Py, or y=P^Tx. You might check out these videos for more on orthogonal diagonalization of symmetric matrices (I go through examples of diagonalizing 3x3 matrix): kzread.info/dash/bejne/kZ5s2Kybc7yZftI.html kzread.info/dash/bejne/fI1lvM9xcbeYcsY.html

thanks

nice

anh em thầy Thịnh giơ tay

Sir how is root 5 is obtained

@JacobLuHK

4 ай бұрын

length

i think its not root 5. its just 5 (2^2+3^2)^1\2=5