Pertanyaan

Jika M adalah matriks sehingga maka determinan matriks M adalah ….

Jika M adalah matriks sehingga

maka determinan matriks M adalah ….

1
-1
0
-2
2

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$d e t. space left parenthesis A right parenthesis space equals space vertical line A vertical line bold italic d bold italic e bold italic t. open parentheses bold italic A bold italic B close parentheses equals bold det left parenthesis bold italic C right parenthesis left right double arrow bold italic d bold italic e bold italic t. open parentheses bold italic A close parentheses bold italic space cross times bold det. open parentheses bold italic B close parentheses equals bold italic d bold italic e bold italic t. left parenthesis bold italic C right parenthesis M a k a space b e r l a k u space j u g a space u n t u k space colon bold italic d bold italic e bold italic t. open parentheses bold italic A close parentheses bold italic space equals fraction numerator bold italic d bold italic e bold italic t. open parentheses bold italic C close parentheses over denominator bold det invisible function application. open parentheses bold italic B close parentheses end fraction S e h i n g g a d e t. open parentheses M close parentheses equals fraction numerator open vertical bar table row a b row cell negative a plus c end cell cell negative b plus d end cell end table close vertical bar over denominator open vertical bar table row a b row c d end table close vertical bar end fraction space space space space space space space space space space space space space equals fraction numerator open parentheses negative a b plus a d close parentheses minus open parentheses negative a b plus b c close parentheses over denominator a d minus b c end fraction space space space space space space space space space space space space space equals fraction numerator negative a b plus a d plus a b minus b c over denominator a d minus b c end fraction space space space space space space space space space space space space space equals fraction numerator a d minus b c over denominator a d minus b c end fraction space space space space space space space space space space space space space equals space 1$