Pertanyaan

Invers matriks A = ( − 2 1 − 5 3 ) adalah A − 1 = ...

Invers matriks $A = (- 2 1 - 5 3)$ adalah $A^{- 1} = ...$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

Invers matriks adalah .

Invers matriks A equals open parentheses table row cell negative 2 end cell cell negative 5 end cell row 1 3 end table close parentheses

adalah

table attributes columnalign right center left columnspacing 0px end attributes row blank blank A end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of negative 1 end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses table row cell negative 3 end cell cell negative 5 end cell row 1 2 end table close parentheses end cell end table

Pembahasan

Jadi,Invers matriks adalah .

$table attributes columnalign right center left columnspacing 0px end attributes row cell A to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator a d minus b c end fraction open parentheses table row d cell negative b end cell row cell negative c end cell a end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator negative 2 times 3 times negative open parentheses negative 5 close parentheses open parentheses 1 close parentheses end fraction open parentheses table row 3 cell negative left parenthesis negative 5 right parenthesis end cell row cell negative 1 end cell cell negative 2 end cell end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator negative 6 plus 5 end fraction open parentheses table row 3 5 row cell negative 1 end cell cell negative 2 end cell end table close parentheses end cell row blank equals cell fraction numerator 1 over denominator negative 1 end fraction open parentheses table row 3 5 row cell negative 1 end cell cell negative 2 end cell end table close parentheses end cell row blank equals cell negative 1 open parentheses table row 3 cell space space 5 end cell row cell negative 1 end cell cell negative 2 end cell end table close parentheses end cell row cell A to the power of negative 1 end exponent end cell equals cell open parentheses table row cell negative 3 end cell cell negative 5 end cell row 1 2 end table close parentheses end cell end table$

Jadi, Invers matriks A equals open parentheses table row cell negative 2 end cell cell negative 5 end cell row 1 3 end table close parentheses adalah .