#Linear Algebra - Eigenstuff

1 messages · Page 1 of 1 (latest)

novel tulip
#

Not sure what to do beyond the deduce V = U + W bit

Notes_240124_092330_82b.png Screenshot_20240124_092342_Samsung_Notes.jpg
wild pivotBOT
#
  1. Wait patiently for a helper to come along.
  2. Once someone helps you, say thank you and close the thread with:
+close
  1. Feel free to nominate the person for helper of the week in #helper-nominations
  2. Do not ping the mods, unless someone is breaking the rules.
  3. If you're happy with the help you got here, and the server overall, you can contribute financially as well:
novel cedar
#

eigenvectors corresponding to distinct eigenvalues are linearly independent

#

so U interset W = {0}

#

provided that both +1 and -1 are eigenvalues

#

if you take bases of the eigenspaces and put them together, you get a basis for V (because U direct sum W = V)

#

matrix is diagonalisable iff V has a basis of eigenvectors

novel cedar
#

@novel tulip

novel tulip
#

ive got it thank you

novel tulip
#

+close