Pertanyaan

Diketahui matriks A = ( 1 2 − 2 5 ) . Nilai k yang memenuhi k det ( A T ) = det ( A − 1 ) adalah...

Diketahui matriks $A = (12 - 2 5)$ . Nilai k yang memenuhi k det $(A^{T})$ = det $(A^{- 1})$ adalah...

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Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell k space d e t space left parenthesis A to the power of T right parenthesis end cell equals cell d e t space left parenthesis A to the power of negative 1 end exponent right parenthesis end cell row cell k space d e t space left parenthesis A right parenthesis end cell equals cell fraction numerator 1 over denominator d e t space left parenthesis A right parenthesis end fraction end cell row cell k space left parenthesis d e t left parenthesis A right parenthesis right parenthesis squared end cell equals 1 row cell k space left parenthesis 9 squared right parenthesis end cell equals 1 row k equals cell 1 over 81 end cell end table$