Nuprl Definition : adjugate

adj(M) ==  matrix(if isEven(x + y) then |matrix-minor(y;x;M)| else -r |matrix-minor(y;x;M)| fi )



Definitions occuring in Statement :  matrix-minor: matrix-minor(i;j;m),  matrix-det: |M|,  mx: matrix(M[x; y]),  isEven: isEven(n),  ifthenelse: if b then t else f fi ,  apply: f a,  subtract: n - m,  add: n + m,  natural_number: $n,  rng_minus: -r
Definitions occuring in definition :  mx: matrix(M[x; y]),  ifthenelse: if b then t else f fi ,  isEven: isEven(n),  add: n + m,  apply: f a,  rng_minus: -r,  matrix-det: |M|,  subtract: n - m,  natural_number: $n,  matrix-minor: matrix-minor(i;j;m)
FDL editor aliases :  adjugate

Latex:
adj(M)  ==    matrix(if  isEven(x  +  y)  then  |matrix-minor(y;x;M)|  else  -r  |matrix-minor(y;x;M)|  fi  )



Date html generated: 2018_05_21-PM-09_38_41
Last ObjectModification: 2017_12_14-AM-00_01_33

Theory : matrices


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