Pertanyaan

Diketahui matriks A = ( 1 3 2 4 ) dan B = ( 4 2 3 1 ) , maka AX = B . Tentukan matriks X!

Diketahui matriks $A = (1324)$ dan $B = (4231)$ , maka $AX = B$ . Tentukan matriks X!

R. Septa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

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table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight X 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 parentheses table row cell negative 6 end cell cell negative 5 end cell row 5 4 end table close parentheses end cell end table

Pembahasan

Diketahui matriks dan . Jika , maka Jadi, .

Diketahui matriks straight A equals open parentheses table row 1 2 row 3 4 end table close parentheses dan straight B equals open parentheses table row 4 3 row 2 1 end table close parentheses . Jika AX equals straight B , maka

$table attributes columnalign right center left columnspacing 0px end attributes row AX equals straight B row straight X equals cell straight A to the power of negative 1 end exponent times straight B end cell row straight X equals cell open parentheses table row 1 2 row 3 4 end table close parentheses to the power of negative 1 end exponent times open parentheses table row 4 3 row 2 1 end table close parentheses end cell row straight X equals cell fraction numerator 1 over denominator 4 minus 6 end fraction times open parentheses table row 4 cell negative 2 end cell row cell negative 3 end cell 1 end table close parentheses times open parentheses table row 4 3 row 2 1 end table close parentheses end cell row straight X equals cell negative 1 half times open parentheses table row 12 10 row cell negative 10 end cell cell negative 8 end cell end table close parentheses end cell row straight X equals cell open parentheses table row cell negative 6 end cell cell negative 5 end cell row 5 4 end table close parentheses end cell end table$

Jadi, .