Linear Algebra Example Problems - Diagonalizing a Matrix

The previous video on this playlist used the matrix diagonalization A = PDP^1 to simplify a computation. In this video we show how to diagonalize A by explicitly constructing the matrices P and D. If A has unique eigenvalues, D should be a diagonal matrix with eigenvalues along the diagonal while P will have eigenvectors as its columns.

[sirius]

shouldn't P^-1 = [ 1 0 ] ?
-1 1

[kskumar]

This is how a video should be made. Straight to the point and quick. Thanks a ton.

[mangopilot]

Thanks for your dedication! I just finished this series, 68videos, to prepare for my midterm. Thanks a lot!

[ephysi]

best series of videos in linear algebra thanks a lot.

[adrianlau]

thanks, you helped me! still have 5 hours before final exam

[ahmadkhaled]

thanks man u helped me a lot before my final exam :D

[Chashi]

Thanks very much for the great video. This helped me fully refresh my memory within 4 minutes. Thanks buddy.

[elvin]

the first minute was all i needed tyvm

[mr.habibbi]

how about for non triangular matrices A

[Doivid_]

You took something I thought was complicated and made it not complicated.

[muthierry]

Thx Adam, this is really helpful . great job

[chrisoca]

Thank you very much for this! I finally understand it!

[frisopladet]

does anyone know if it is in fact wrong if your x1= 3 and your x2= 2? because you'll get a matrix P which is 01 - 11 instead of 11-01.

[mathsgnr]

Sir do upload the next topic videos that is inner product space...concept ..

[justcommentsable]

Thank you man, you saved my ass. and also, ROLL TIDE

[themightyquinn]

This guy sounds like James Woods, lol!

[jameshopkins]

MORMOS WHY DO YOU DON'T GET CLOSED MOUTH AND GO TO THE SAME SHIT?