The eigenvalues on the diagonal follows from the determinant of a triangular matrix being the product of the diagonal terms, and the determinant is zero.
Can anyone watching let me know why we would do this? What exactly does the eigenvector tell us? wrt the theorem's, when would this be a useful theorem to apply and in what context? thanks in advance 🤟
The eigenvalues on the diagonal follows from the determinant of a triangular matrix being the product of the diagonal terms, and the determinant is zero.
you are an amazing teacher
I guess at 3:06 there is a mistake at the (1,3)th term in row reducted A. It should have been -1, not 1. It changes the amount of free variables.
Thank you soooo much, I've been looking to understand this and you helped a lot with this video. Thank you!
Can anyone watching let me know why we would do this? What exactly does the eigenvector tell us? wrt the theorem's, when would this be a useful theorem to apply and in what context? thanks in advance 🤟
I learnt this from my ode class
But even then it is still kinda foreign cuz it's used different here
But yea you might use it in ode
🙌🙌🙌
❤️
just letting you know i skipped the whole proof its a waste of my damn time