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Diketahui persamaan matriks 2 ( a − 3 ​ 2 1 ​ ) + ( 4 0 ​ − 1 b ​ ) = ( 3 c ​ 2 4 ​ ) ( 2 1 ​ d 3 ​ ) Nilai dari a + b + c + d = ....

Diketahui persamaan matriks

 

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N. Puspita

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nilai dari .

nilai dari begin mathsize 14px style a plus b plus c plus d equals 2 plus 15 plus left parenthesis negative 5 right parenthesis plus left parenthesis negative 1 right parenthesis equals 11 end style.

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Jadi, nilai dari .

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 open parentheses table row a 2 row cell negative 3 end cell 1 end table close parentheses plus open parentheses table row 4 cell negative 1 end cell row 0 b end table close parentheses end cell equals cell open parentheses table row 3 2 row c 4 end table close parentheses open parentheses table row 2 d row 1 3 end table close parentheses end cell row cell open parentheses table row cell 2 a end cell 4 row cell negative 6 end cell 2 end table close parentheses plus open parentheses table row 4 cell negative 1 end cell row 0 b end table close parentheses end cell equals cell open parentheses table row cell 6 plus 2 end cell cell 3 d plus 6 end cell row cell 2 c plus 4 end cell cell c d plus 12 end cell end table close parentheses end cell row cell open parentheses table row cell 2 a plus 4 end cell 3 row cell negative 6 end cell cell 2 plus b end cell end table close parentheses end cell equals cell open parentheses table row 8 cell 3 d plus 6 end cell row cell 2 c plus 4 end cell cell c d plus 12 end cell end table close parentheses end cell row blank blank blank row blank blank cell pers space 1 end cell row cell 2 a plus 4 end cell equals 8 row cell 2 a end cell equals 4 row a equals 2 row blank blank blank row blank blank cell pers space 2 end cell row 3 equals cell 3 d plus 6 end cell row cell negative 3 end cell equals cell 3 d end cell row d equals cell negative 1 end cell row blank blank blank row blank blank cell pers space 3 end cell row cell negative 6 end cell equals cell 2 c plus 4 end cell row cell negative 10 end cell equals cell 2 c end cell row c equals cell negative 5 end cell row blank blank blank row blank blank cell pers space 4 end cell row cell 2 plus b end cell equals cell c d plus 12 end cell row cell 2 plus b end cell equals cell left parenthesis negative 5 right parenthesis left parenthesis negative 1 right parenthesis plus 12 end cell row cell 2 plus b end cell equals 17 row b equals 15 end table end style

Jadi, nilai dari begin mathsize 14px style a plus b plus c plus d equals 2 plus 15 plus left parenthesis negative 5 right parenthesis plus left parenthesis negative 1 right parenthesis equals 11 end style.

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