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Diketahui matriks A = ⎣ ⎡ ​ − 1 0 − 3 ​ 0 2 1 ​ 3 1 0 ​ ⎦ ⎤ ​ , B = ⎣ ⎡ ​ − 5 − 3 − 7 ​ − 1 0 − 3 ​ 3 − 3 − 2 ​ ⎦ ⎤ ​ . Tentukan nilai dari AB T !

Diketahui matriks . Tentukan nilai dari !

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table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight A end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight B end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of straight T end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets table row 14 cell negative 6 end cell 1 row 1 cell negative 3 end cell cell negative 8 end cell row 14 9 18 end table close square brackets end cell end table .

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begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row straight A equals cell open square brackets table row cell negative 1 end cell 0 3 row 0 2 1 row cell negative 3 end cell 1 0 end table close square brackets comma space straight B to the power of straight T equals open square brackets table row cell negative 5 end cell cell negative 3 end cell cell negative 7 end cell row cell negative 1 end cell 0 cell negative 3 end cell row 3 cell negative 3 end cell cell negative 2 end cell end table close square brackets end cell row blank blank blank row cell AB to the power of straight T end cell equals cell open square brackets table row cell negative 1 end cell 0 3 row 0 2 1 row cell negative 3 end cell 1 0 end table close square brackets cross times open square brackets table row cell negative 5 end cell cell negative 3 end cell cell negative 7 end cell row cell negative 1 end cell 0 cell negative 3 end cell row 3 cell negative 3 end cell cell negative 2 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell left parenthesis negative 1 right parenthesis times left parenthesis negative 5 right parenthesis plus 0 times left parenthesis negative 1 right parenthesis plus 3 times 3 end cell cell left parenthesis negative 1 right parenthesis times left parenthesis negative 3 right parenthesis plus 0 times 0 plus 3 times left parenthesis negative 3 right parenthesis end cell cell left parenthesis negative 1 right parenthesis times left parenthesis negative 7 right parenthesis plus 0 times left parenthesis negative 3 right parenthesis plus 3 times left parenthesis negative 2 right parenthesis end cell row cell 0 times left parenthesis negative 5 right parenthesis plus 2 times left parenthesis negative 1 right parenthesis plus 1 times 3 end cell cell 0 times left parenthesis negative 3 right parenthesis plus 2 times 0 plus 1 times left parenthesis negative 3 right parenthesis end cell cell 0 times left parenthesis negative 7 right parenthesis plus 2 times left parenthesis negative 3 right parenthesis plus 1 times left parenthesis negative 2 right parenthesis end cell row cell left parenthesis negative 3 right parenthesis times left parenthesis negative 5 right parenthesis plus 1 times left parenthesis negative 1 right parenthesis plus 0 times 3 end cell cell left parenthesis negative 3 right parenthesis times left parenthesis negative 3 right parenthesis plus 1 times 0 plus 0 times left parenthesis negative 3 right parenthesis end cell cell left parenthesis negative 3 right parenthesis times left parenthesis negative 7 right parenthesis plus 1 times left parenthesis negative 3 right parenthesis plus 0 times left parenthesis negative 2 right parenthesis end cell end table close square brackets end cell row blank equals cell open square brackets table row cell 5 plus 0 plus 9 end cell cell 3 plus 0 minus 9 end cell cell 7 plus 0 minus 6 end cell row cell 0 minus 2 plus 3 end cell cell 0 plus 0 minus 3 end cell cell 0 minus 6 minus 2 end cell row cell 15 minus 1 plus 0 end cell cell 9 plus 0 plus 0 end cell cell 21 minus 3 plus 0 end cell end table close square brackets end cell row blank equals cell open square brackets table row 14 cell negative 6 end cell 1 row 1 cell negative 3 end cell cell negative 8 end cell row 14 9 18 end table close square brackets end cell end table end style  

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight A end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight B end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of straight T end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets table row 14 cell negative 6 end cell 1 row 1 cell negative 3 end cell cell negative 8 end cell row 14 9 18 end table close square brackets end cell end table .

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