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Jika maka adjoin dari matriks D adalah ....

Jika begin mathsize 14px style D equals open parentheses table row 0 2 3 row 1 cell negative 2 end cell cell negative 5 end cell row 0 4 cell negative 4 end cell end table close parentheses end style maka adjoin dari matriks D  adalah ....

  1. begin mathsize 14px style open parentheses table row 28 20 4 row 4 0 0 row cell negative 4 end cell 3 cell negative 2 end cell end table close parentheses end style 

  2. begin mathsize 14px style open parentheses table row cell negative 28 end cell cell negative 4 end cell cell negative 4 end cell row cell negative 20 end cell 0 0 row 4 cell negative 3 end cell 2 end table close parentheses end style 

  3. begin mathsize 14px style open parentheses table row cell negative 28 end cell cell negative 20 end cell 4 row cell negative 4 end cell 0 cell negative 3 end cell row cell negative 4 end cell 0 2 end table close parentheses end style 

  4. begin mathsize 14px style open parentheses table row 28 4 4 row 20 0 0 row cell negative 4 end cell 3 cell negative 2 end cell end table close parentheses end style 

  5. begin mathsize 14px style open parentheses table row 28 20 cell negative 4 end cell row 4 0 3 row 4 0 cell negative 2 end cell end table close parentheses end style 

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A. Acfreelance

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Pembahasan

Diketahui .Kita cari dulu masing-masing nilai minornya lalu kita tentukan kofaktornya. Sehingga kita peroleh matriks kofaktornya adalah Jadi, adjoinnya adalah

Diketahui undefined. Kita cari dulu masing-masing nilai minornya lalu kita tentukan kofaktornya.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell M subscript 11 end cell equals cell open vertical bar table row cell negative 2 end cell cell negative 5 end cell row 4 cell negative 4 end cell end table close vertical bar equals open parentheses negative 2 close parentheses times open parentheses negative 4 close parentheses minus open parentheses negative 5 close parentheses times 4 equals 8 plus 20 equals 28 end cell row cell C subscript 11 end cell equals cell open parentheses negative 1 close parentheses to the power of 1 plus 1 end exponent times M subscript 11 equals open parentheses negative 1 close parentheses squared times 28 equals 1 times 28 equals 28 end cell row cell M subscript 12 end cell equals cell open vertical bar table row 1 cell negative 5 end cell row 0 cell negative 4 end cell end table close vertical bar equals 1 times open parentheses negative 4 close parentheses minus open parentheses negative 5 close parentheses times 0 equals negative 4 plus 0 equals negative 4 end cell row cell C subscript 12 end cell equals cell open parentheses negative 1 close parentheses to the power of 1 plus 2 end exponent times M subscript 12 equals open parentheses negative 1 close parentheses cubed times open parentheses negative 4 close parentheses equals open parentheses negative 1 close parentheses times open parentheses negative 4 close parentheses equals 4 end cell row cell M subscript 13 end cell equals cell open vertical bar table row 1 cell negative 2 end cell row 0 4 end table close vertical bar equals 1 times 4 minus open parentheses negative 2 close parentheses times 0 equals 4 plus 0 equals 4 end cell row cell C subscript 13 end cell equals cell open parentheses negative 1 close parentheses to the power of 1 plus 3 end exponent times M subscript 13 equals open parentheses negative 1 close parentheses to the power of 4 times 4 equals 1 times 4 equals 4 end cell row cell M subscript 21 end cell equals cell open vertical bar table row 2 3 row 4 cell negative 4 end cell end table close vertical bar equals 2 times open parentheses negative 4 close parentheses minus 3 times 3 equals negative 8 minus 12 equals negative 20 end cell row cell C subscript 21 end cell equals cell open parentheses negative 1 close parentheses to the power of 2 plus 1 end exponent times M subscript 21 equals open parentheses negative 1 close parentheses cubed times open parentheses negative 20 close parentheses equals open parentheses negative 1 close parentheses times open parentheses negative 20 close parentheses equals 20 end cell row cell M subscript 22 end cell equals cell open vertical bar table row 0 3 row 0 cell negative 4 end cell end table close vertical bar equals 0 times open parentheses negative 4 close parentheses minus 3 times 0 equals 0 minus 0 equals 0 end cell row cell C subscript 22 end cell equals cell open parentheses negative 1 close parentheses to the power of 2 plus 2 end exponent times M subscript 22 equals open parentheses negative 1 close parentheses to the power of 4 times 0 equals 1 times 0 equals 0 end cell row cell M subscript 23 end cell equals cell open vertical bar table row 0 2 row 0 4 end table close vertical bar equals 0 times 4 minus 2 times 0 equals 0 minus 0 equals 0 end cell row cell C subscript 23 end cell equals cell open parentheses negative 1 close parentheses to the power of 2 plus 3 end exponent times M subscript 23 equals open parentheses negative 1 close parentheses to the power of 5 times 0 equals open parentheses negative 1 close parentheses times 0 equals 0 end cell row cell M subscript 31 end cell equals cell open vertical bar table row 2 3 row cell negative 2 end cell cell negative 5 end cell end table close vertical bar equals 2 times open parentheses negative 5 close parentheses minus 3 times open parentheses negative 2 close parentheses equals negative 10 plus 6 equals negative 4 end cell row cell C subscript 31 end cell equals cell open parentheses negative 1 close parentheses to the power of 3 plus 1 end exponent times M subscript 31 equals open parentheses negative 1 close parentheses to the power of 4 times open parentheses negative 4 close parentheses equals 1 times open parentheses negative 4 close parentheses equals negative 4 end cell row cell M subscript 32 end cell equals cell open vertical bar table row 0 3 row 1 cell negative 5 end cell end table close vertical bar equals 0 times open parentheses negative 5 close parentheses minus 3 times 1 equals 0 minus 3 equals negative 3 end cell row cell C subscript 32 end cell equals cell open parentheses negative 1 close parentheses to the power of 3 plus 2 end exponent times M subscript 32 equals open parentheses negative 1 close parentheses to the power of 5 times open parentheses negative 3 close parentheses equals open parentheses negative 1 close parentheses times open parentheses negative 3 close parentheses equals 3 end cell row cell M subscript 33 end cell equals cell open vertical bar table row 0 2 row 1 cell negative 2 end cell end table close vertical bar equals 0 times open parentheses negative 2 close parentheses minus 2 times 1 equals 0 minus 2 equals negative 2 end cell row cell C subscript 33 end cell equals cell open parentheses negative 1 close parentheses to the power of 3 plus 3 end exponent times M subscript 33 equals open parentheses negative 1 close parentheses to the power of 6 times open parentheses negative 2 close parentheses equals 1 times open parentheses negative 2 close parentheses equals negative 2 end cell end table end style 

Sehingga kita peroleh matriks kofaktornya adalah

undefined 

Jadi, adjoinnya adalah

begin mathsize 14px style open parentheses table row 28 4 4 row 20 0 0 row cell negative 4 end cell 3 cell negative 2 end cell end table close parentheses to the power of T equals open parentheses table row 28 20 cell negative 4 end cell row 4 0 3 row 4 0 cell negative 2 end cell end table close parentheses end style 

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