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C = [ 1 3 ​ 2 4 ​ ] D = [ a − 1 c + 2 ​ b + 3 d ​ ] Jika matriks C = D , maka tentukan nilai a , b , c dan d !

Jika matriks , maka tentukan nilai !

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S. Lestari

Master Teacher

Jawaban terverifikasi

Jawaban

didapat dan

didapat begin mathsize 14px style a equals 1 comma end style begin mathsize 14px style b equals cube root of 2 comma end style begin mathsize 14px style c equals plus-or-minus square root of 3 comma end style dan begin mathsize 14px style d equals 4. end style

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Pembahasan

Jadi, didapat dan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row C equals D row cell open square brackets table row 1 2 row 3 4 end table close square brackets end cell equals cell open square brackets table row cell a to the power of negative 1 end exponent end cell cell b to the power of plus 3 end exponent end cell row cell c to the power of plus 2 end exponent end cell d end table close square brackets end cell row blank blank blank row cell a to the power of negative 1 end exponent end cell equals 1 row cell 1 over a end cell equals 1 row a equals 1 row blank blank blank row cell b to the power of plus 3 end exponent end cell equals 2 row b equals cell cube root of 2 end cell row blank blank blank row cell c to the power of plus 2 end exponent end cell equals 3 row c equals cell negative square root of 3 space text atau end text space c equals square root of 3 end cell row blank blank blank row d equals 4 end table end style

Jadi, didapat begin mathsize 14px style a equals 1 comma end style begin mathsize 14px style b equals cube root of 2 comma end style begin mathsize 14px style c equals plus-or-minus square root of 3 comma end style dan begin mathsize 14px style d equals 4. end style

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Tuliskan dalam model matematika berbentuk matriks masing-masing bentuk sistem persamaan berikut. b. ⎩ ⎨ ⎧ ​ 1 + 3 x 3 x ​ = 2 3 y ​ 1 + 3 y 3 y ​ = 2 3 z ​ 1 + 3 z 3 z ​ = 2 3 x ​ ​

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