Proof Practice Worksheet Given: Prove: AABC ZAEDC
Statements
1) 2) BC DC
3) 4) AABC ZAEDC
Reasons
1
2)
3)
4)

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.