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Diketahui M = ( 3 1 ​ − 2 0 ​ ) dan N = ( 1 0 ​ − 3 2 ​ ) . Nilai |M N| = ....

Diketahui  . Nilai |M N| = ....

  1. 6

  2. 4

  3. 0

  4. -4

  5. -6

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Pembahasan

Ingat bahwa jika M dan N memiliki determinan maka| M| |N| sehingga Cara lain: Sehingga

Ingat bahwa jika M dan N memiliki determinan maka |M| |N| sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line straight M space straight N vertical line end cell equals cell vertical line straight M vertical line space vertical line straight N vertical line end cell row blank equals cell left parenthesis 3 times 0 minus left parenthesis negative 2 right parenthesis times 1 right parenthesis left parenthesis 1 times 2 minus left parenthesis negative 3 right parenthesis times 0 right parenthesis end cell row blank equals cell left parenthesis 0 plus 2 right parenthesis left parenthesis 2 plus 0 right parenthesis end cell row blank equals cell left parenthesis 2 right parenthesis left parenthesis 2 right parenthesis end cell row blank equals 4 end table end style  

 

Cara lain:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row MN equals cell open parentheses table row 3 cell negative 2 end cell row 1 0 end table close parentheses open parentheses table row 1 cell negative 3 end cell row 0 2 end table close parentheses end cell row blank equals cell open parentheses table row cell 3 times 1 plus left parenthesis negative 2 right parenthesis times 0 end cell cell 3 times left parenthesis negative 3 right parenthesis plus left parenthesis negative 2 right parenthesis times 2 end cell row cell 1 times 1 plus 0 times 0 end cell cell 1 times left parenthesis negative 3 right parenthesis plus 0 times 2 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell 3 plus 0 end cell cell negative 9 minus 4 end cell row cell 1 plus 0 end cell cell negative 3 plus 0 end cell end table close parentheses end cell row blank equals cell open parentheses table row 3 cell negative 13 end cell row 1 cell negative 3 end cell end table close parentheses end cell end table end style  

 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line MN vertical line end cell equals cell 3 times left parenthesis negative 3 right parenthesis minus left parenthesis negative 13 right parenthesis times 1 end cell row blank equals cell negative 9 plus 13 end cell row blank equals 4 end table end style 

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