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Diketahui matriks C = [ − 2 1 ​ 3 5 ​ ] , D = [ 4 3 ​ − 2 − 1 ​ ] , dan E = [ 6 3 ​ 4 − 1 ​ ] . Matriks 3 C + 2 D − 2 E adalah... .

Diketahui matriks , dan . Matriks  adalah... .

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R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

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matriks adalah .

matriks 3 C plus 2 D minus 2 E adalah open square brackets table row cell negative 10 end cell cell negative 3 end cell row 3 15 end table close square brackets.

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Pembahasan

Diketahui matriks , , dan .Matriks sebagai berikut. Dengan demikian, matriks adalah .

Diketahui matriks C equals open square brackets table row cell negative 2 end cell 3 row 1 5 end table close square bracketsD equals open square brackets table row 4 cell negative 2 end cell row 3 cell negative 1 end cell end table close square brackets, dan E equals open square brackets table row 6 4 row 3 cell negative 1 end cell end table close square brackets. Matriks 3 C plus 2 D minus 2 E sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 C plus 2 D minus 2 E end cell row blank equals cell 3 open square brackets table row cell negative 2 end cell 3 row 1 5 end table close square brackets plus 2 open square brackets table row 4 cell negative 2 end cell row 3 cell negative 1 end cell end table close square brackets minus 2 open square brackets table row 6 4 row 3 cell negative 1 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell 3 times open parentheses negative 2 close parentheses end cell cell 3 times 3 end cell row cell 3 times 1 end cell cell 3 times 5 end cell end table close square brackets plus open square brackets table row cell 2 times 4 end cell cell 2 times open parentheses negative 2 close parentheses end cell row cell 2 times 3 end cell cell 2 times open parentheses negative 1 close parentheses end cell end table close square brackets minus open square brackets table row cell 2 times 6 end cell cell 2 times 4 end cell row cell 2 times 3 end cell cell 2 times open parentheses negative 1 close parentheses end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 6 end cell 9 row 3 15 end table close square brackets plus open square brackets table row 8 cell negative 4 end cell row 6 cell negative 2 end cell end table close square brackets minus open square brackets table row 12 8 row 6 cell negative 2 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 6 plus 8 minus 12 end cell cell 9 minus 4 minus 8 end cell row cell 3 plus 6 minus 6 end cell cell 15 minus 2 minus open parentheses negative 2 close parentheses end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 10 end cell cell negative 3 end cell row 3 15 end table close square brackets end cell end table


Dengan demikian, matriks 3 C plus 2 D minus 2 E adalah open square brackets table row cell negative 10 end cell cell negative 3 end cell row 3 15 end table close square brackets.

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