Pertanyaan

Invers matriks B = ( − 4 − 5 2 3 ) ,invers B adalah B − 1 = ....

Invers matriks $B = (- 4 - 5 23)$ , invers $B$ adalah $B^{- 1}$ = ....

N. Sari

Master Teacher

Mahasiswa/Alumni Universitas Nasional

Jawaban terverifikasi

Pembahasan

Invers matriks dapat dilkukan dengan cara berikut. Maka,

Invers matriks dapat dilkukan dengan cara berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row B equals cell open parentheses table row cell negative 4 end cell 2 row cell negative 5 end cell 3 end table close parentheses end cell row cell B to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator left parenthesis negative 4 cross times 3 right parenthesis minus left parenthesis negative 5 cross times 2 right parenthesis end fraction cross times open parentheses table row 3 cell negative 2 end cell row 5 cell negative 4 end cell end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator left parenthesis negative 12 right parenthesis plus 10 end fraction cross times open parentheses table row 3 cell negative 2 end cell row 5 cell negative 4 end cell end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator negative 2 end fraction cross times open parentheses table row 3 cell negative 2 end cell row 5 cell negative 4 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell fraction numerator 3 over denominator negative 2 end fraction end cell cell fraction numerator negative 2 over denominator negative 2 end fraction end cell row cell fraction numerator 5 over denominator negative 2 end fraction end cell cell fraction numerator negative 4 over denominator negative 2 end fraction end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 3 over 2 end cell 1 row cell negative 5 over 2 end cell 2 end table close parentheses end cell end table$

Maka, B to the power of negative 1 end exponent equals open parentheses table row cell negative 3 over 2 end cell 1 row cell negative 5 over 2 end cell 2 end table close parentheses