Pertanyaan

Jika G = ( 1 − 1 0 2 ) maka ∣ G − 1 ∣ = ...

Jika $G = (1 - 1 02) maka ∣ G^{- 1} ∣ = ...$

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Pembahasan

Ingat bahwa sehingga Cara lain: Diketahui maka Sehingga

Ingat bahwa $begin mathsize 14px style vertical line straight G to the power of negative 1 end exponent vertical line equals fraction numerator 1 over denominator vertical line straight G vertical line end fraction end style$ sehingga

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line straight G to the power of negative 1 end exponent vertical line end cell equals cell fraction numerator 1 over denominator vertical line straight G vertical line end fraction end cell row blank equals cell fraction numerator 1 over denominator left parenthesis 1 times 2 minus 0 times left parenthesis negative 1 right parenthesis right parenthesis end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 plus 0 end fraction end cell row blank equals cell 1 half end cell end table end style$

Cara lain:

Diketahui maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight G to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator 1 times 2 minus 0 times left parenthesis negative 1 right parenthesis end fraction open parentheses table row 2 0 row 1 1 end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator 2 plus 0 end fraction open parentheses table row 2 0 row 1 1 end table close parentheses end cell row blank equals cell 1 half open parentheses table row 2 0 row 1 1 end table close parentheses end cell row blank equals cell open parentheses table row 1 0 row cell 1 half end cell cell 1 half end cell end table close parentheses end cell end table end style$

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line straight G to the power of negative 1 end exponent vertical line end cell equals cell 1 times 1 half minus 0 times 1 half end cell row blank equals cell 1 half minus 0 end cell row blank equals cell 1 half end cell end table end style

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