Chapter 5 Flashcards
1
Q
A Procedure for Solving y’ = Ay if A is Diagonalizable
A
Step 1: Find a matrix P that diagonalizes A.
Step 2: Make the substitutions: y = Pu and y’ = Pu’ to obtain a new “diagonal system” u’ = Du, where D = P^-1AP
Step 3: Solve u’ = Du
Step 4: Determine y from the equation y = Pu