Pertanyaan

Diketahui dan . Jika A − 1 = B , maka ad - bc = ....

Diketahui dan . Jika $A^{- 1} = B$ , maka ad - bc = ....

$begin mathsize 14px style fraction numerator 1 over denominator 2 square root of 2 end fraction space a t a u space minus fraction numerator 1 over denominator 2 square root of 2 end fraction end style$
$begin mathsize 14px style fraction numerator 1 over denominator 3 square root of 2 end fraction space a t a u space minus fraction numerator 1 over denominator 3 square root of 2 end fraction end style$
$begin mathsize 14px style fraction numerator 1 over denominator 4 square root of 2 end fraction space a t a u minus fraction numerator 1 over denominator 4 square root of 2 end fraction end style$
$begin mathsize 14px style fraction numerator 1 over denominator 6 square root of 2 end fraction space a t a u space minus fraction numerator 1 over denominator 6 square root of 2 end fraction end style$
$begin mathsize 14px style fraction numerator 1 over denominator 9 square root of 2 end fraction space a t a u space minus fraction numerator 1 over denominator 9 square root of 2 end fraction end style$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Maka

$begin mathsize 14px style det invisible function application open parentheses A to the power of negative 1 end exponent close parentheses equals fraction numerator 1 over denominator det invisible function application open parentheses A close parentheses end fraction end style$

Maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A to the power of negative 1 end exponent end cell equals B row cell det invisible function application open parentheses A to the power of negative 1 end exponent close parentheses end cell equals cell det invisible function application open parentheses B close parentheses end cell row cell fraction numerator 1 over denominator det invisible function application open parentheses A close parentheses end fraction end cell equals cell det invisible function application open parentheses B close parentheses end cell row cell fraction numerator 1 over denominator open parentheses 6 a close parentheses open parentheses 2 d close parentheses minus open parentheses negative 4 b close parentheses open parentheses negative 3 c close parentheses end fraction end cell equals cell open parentheses negative 2 a close parentheses open parentheses negative 3 d close parentheses minus open parentheses 6 c close parentheses open parentheses b close parentheses end cell row cell fraction numerator 1 over denominator 12 a d minus 12 b c end fraction end cell equals cell 6 a d minus 6 b c end cell row cell fraction numerator 1 over denominator 12 open parentheses a d minus b c close parentheses end fraction end cell equals cell 6 open parentheses a d minus b c close parentheses end cell row cell open parentheses a d minus b c close parentheses squared end cell equals cell 1 over 72 end cell row cell a d minus b c end cell equals cell plus-or-minus square root of 1 over 72 end root end cell row cell a d minus b c end cell equals cell plus-or-minus fraction numerator 1 over denominator 6 square root of 2 end fraction end cell end table end style$

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