Pertanyaan

Diketahui matriks A = ( 1 2 − 1 3 ) , B = ( − 7 11 − 3 14 ) , X = ( a c b d ) dan AX = B . Nilai d pada matriks X tersebut adalah ...

$Diketahui matriks A = (12 - 1 3), B = (- 7 11 - 3 14), X = (a c b d) dan AX = B . Nilai d pada matriks X tersebut adalah ...$

-3
-2
2
3
4

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style AX space equals space straight B straight X space equals space straight A to the power of negative 1 end exponent straight B space straight X space equals space fraction numerator 1 over denominator 3 minus left parenthesis negative 2 right parenthesis end fraction open parentheses table row 3 1 row cell negative 2 end cell 1 end table close parentheses open parentheses table row cell negative 7 end cell cell negative 3 end cell row 11 14 end table close parentheses straight X space equals space 1 fifth space open parentheses table row cell negative 21 space plus space 11 end cell cell negative 9 space plus space 14 end cell row cell 14 space plus space 11 end cell cell 6 space plus space 14 end cell end table close parentheses straight X space equals 1 fifth open parentheses table row cell negative 10 end cell 5 row 25 20 end table close parentheses straight X space equals space open parentheses table row cell negative 2 end cell 1 row 5 4 end table close parentheses Karena space straight X space equals open parentheses table row straight a straight b row straight c straight d end table close parentheses open parentheses table row cell negative 2 end cell 1 row 5 4 end table close parentheses space equals space open parentheses table row straight a straight b row straight c straight d end table close parentheses comma sehingga space diperoleh space nilai space straight d space equals space 4 end style$