Pertanyaan

Jika dan det A =-2, maka d e tB A − 1 = ....

Jika dan det A =-2, maka $d e tB A^{- 1} =$ ....

8
4
2
-2
-4

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Maka sehingga

Maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell det invisible function application A B end cell equals cell det invisible function application A cross times det invisible function application B end cell row cell negative 8 end cell equals cell negative 2 cross times det invisible function application B end cell row cell det invisible function application B end cell equals cell fraction numerator negative 8 over denominator negative 2 end fraction end cell row cell det invisible function application B end cell equals 4 end table end style$

sehingga

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell det invisible function application B A to the power of negative 1 end exponent end cell equals cell det invisible function application B cross times det invisible function application A to the power of negative 1 end exponent end cell row blank equals cell det invisible function application B cross times fraction numerator 1 over denominator det invisible function application A end fraction end cell row blank equals cell 4 cross times fraction numerator 1 over denominator negative 2 end fraction end cell row blank equals cell fraction numerator 4 over denominator negative 2 end fraction end cell row blank equals cell negative 2 end cell end table end style$