STATISTICS 224
NOTES
MINUS B PLUS NBBoDMA times product
always move left right x draw horizontal line
on fruit marry and
Transposer
vertical on 2nd
swap rowsandiolumns x find outcome byraking
ex 2 3 marry become
outer valve or marry
a 3 2 e
g 3 3 times 3 2
Gaussian elimination answer will be a 3
3
Rowechlon reduced XNBilfinnersarenot same
rowechlon
they are non comformable
often used when solving matrix
of coefficients xyz Rank
number of non
xrowechlon is when youuse
row operations triangle zero rows
roger upper
bottom 3 0 Rowoperations redulelorowechlon
addvowro another form 32001
Eff swaprowl
timeby valve
2 count number of non
zero rows
reducedrowechlonis when
maximum rankofmatoix
you have diagnalol I's all
all below must be o no oldowsoucolume
of motor but whichever
III slowest
, INVERSE positive definite
2 2 Matrix matrix
2 2M
EY Kiffin o
matrix
il oneover thedeterminant 1
makeup random 2x
get mavox and 19111th
ad be x
cant be zero
1 must bet no
2 time by inverse whichyou 2 now timestranspose obs
getby switching a and d by matrix x iz
and adding negative roc 31 answer will be 1 2
and b
ul dad no in bracket and
ad be Ebi must sum o
3 3 Matrix Cholesky Decomposition
il determine matrix of minors Germatrixinvouppero form
which same method as det frowechlon form
used
by J
2 divideeach element
21 Simplify into normal 3 3
of the diagnal in that row
marry 710 factor matrix
3 3M
31 rimes co factor bychalk III
4 find determinant bybaking og 13,1
to LIFE
matrix andadding first two rows
to end and use diag method hereyouwould
Y Tayloe
s
Al transpose of co factor man
show YS has no inverse
NB heckoncak c
show Bis inverse or a
Glimelby gg
AB must be equal to BA atsb 8 34
NOTES
MINUS B PLUS NBBoDMA times product
always move left right x draw horizontal line
on fruit marry and
Transposer
vertical on 2nd
swap rowsandiolumns x find outcome byraking
ex 2 3 marry become
outer valve or marry
a 3 2 e
g 3 3 times 3 2
Gaussian elimination answer will be a 3
3
Rowechlon reduced XNBilfinnersarenot same
rowechlon
they are non comformable
often used when solving matrix
of coefficients xyz Rank
number of non
xrowechlon is when youuse
row operations triangle zero rows
roger upper
bottom 3 0 Rowoperations redulelorowechlon
addvowro another form 32001
Eff swaprowl
timeby valve
2 count number of non
zero rows
reducedrowechlonis when
maximum rankofmatoix
you have diagnalol I's all
all below must be o no oldowsoucolume
of motor but whichever
III slowest
, INVERSE positive definite
2 2 Matrix matrix
2 2M
EY Kiffin o
matrix
il oneover thedeterminant 1
makeup random 2x
get mavox and 19111th
ad be x
cant be zero
1 must bet no
2 time by inverse whichyou 2 now timestranspose obs
getby switching a and d by matrix x iz
and adding negative roc 31 answer will be 1 2
and b
ul dad no in bracket and
ad be Ebi must sum o
3 3 Matrix Cholesky Decomposition
il determine matrix of minors Germatrixinvouppero form
which same method as det frowechlon form
used
by J
2 divideeach element
21 Simplify into normal 3 3
of the diagnal in that row
marry 710 factor matrix
3 3M
31 rimes co factor bychalk III
4 find determinant bybaking og 13,1
to LIFE
matrix andadding first two rows
to end and use diag method hereyouwould
Y Tayloe
s
Al transpose of co factor man
show YS has no inverse
NB heckoncak c
show Bis inverse or a
Glimelby gg
AB must be equal to BA atsb 8 34
