0-1 2020
MATRIIX DIAGION ALI SATlON
A nx
mamy B imlov to
nxn mamx
cLageng 6 P AP
Mabnx
STEPS To BE FoLLOnED
OTEP Find Eigun valuaso mamx
STEP2:Fnd Eign weton
8STEP 3 Foym O mabrix by ing there elgon edos
Then STEP 3
P
STEP
Name , and Th 4omud matk
calltd MODAL MATRI
STEP 6: Fnd h Inverse o P matby P
3TEP 6 wirh the hulp o , A, caludat Co7 tom
mcctnx
B P Ap
Note The unal B madnxyou qel
hould be a diogonad matn*
B
, non
clua g onal elumen
Cie) who
dhetd be Ze YD CUnd the ciag sno
elementa nbul d be your eigen Vaus
C) B
matrx Thun we can
.' 1you get
Jet
COmec
Ja that matrnx B imilar to matyuK A
- Note FoY thio Matnxk piagonalus atuen mthod
e 1he mat ik Can elthey e ymmetye COY)
non dy mmaye twl wOYk. So No naed to chetk.
Note To nd hghey pouey A
WKT
BPAP
re multiplyng P and Post muuutiplyng
by p on bo th do,
PBPCPr")A(r')
PBP A APBP
Fo Hig ay powtr,at say A
A P B
onod matnx whwh u
gok
MATRIIX DIAGION ALI SATlON
A nx
mamy B imlov to
nxn mamx
cLageng 6 P AP
Mabnx
STEPS To BE FoLLOnED
OTEP Find Eigun valuaso mamx
STEP2:Fnd Eign weton
8STEP 3 Foym O mabrix by ing there elgon edos
Then STEP 3
P
STEP
Name , and Th 4omud matk
calltd MODAL MATRI
STEP 6: Fnd h Inverse o P matby P
3TEP 6 wirh the hulp o , A, caludat Co7 tom
mcctnx
B P Ap
Note The unal B madnxyou qel
hould be a diogonad matn*
B
, non
clua g onal elumen
Cie) who
dhetd be Ze YD CUnd the ciag sno
elementa nbul d be your eigen Vaus
C) B
matrx Thun we can
.' 1you get
Jet
COmec
Ja that matrnx B imilar to matyuK A
- Note FoY thio Matnxk piagonalus atuen mthod
e 1he mat ik Can elthey e ymmetye COY)
non dy mmaye twl wOYk. So No naed to chetk.
Note To nd hghey pouey A
WKT
BPAP
re multiplyng P and Post muuutiplyng
by p on bo th do,
PBPCPr")A(r')
PBP A APBP
Fo Hig ay powtr,at say A
A P B
onod matnx whwh u
gok
