Pertanyaan

Tentukan invers dari matriks-matriks berikut. a. [ − 5 − 2 7 3 ]

Tentukan invers dari matriks-matriks berikut.

a. $[- 5 - 2 73]$

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Klaim

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

invers matriks adalah .

invers matriks open square brackets table row cell negative 5 end cell 7 row cell negative 2 end cell 3 end table close square brackets

adalah

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets table row cell negative 3 end cell 7 row cell negative 2 end cell 5 end table close square brackets end cell end table

Pembahasan

Invers matrik berordo Maka, Jadi, invers matriks adalah .

Invers matrik berordo 2 cross times 2

$A to the power of negative 1 end exponent equals fraction numerator 1 over denominator d e t space A end fraction cross times A d j space left parenthesis A right parenthesis$

Maka,

$table attributes columnalign right center left columnspacing 0px end attributes row cell A to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator left parenthesis negative 5 times 3 right parenthesis minus open parentheses 7 times negative 2 close parentheses end fraction open square brackets table row 3 cell negative 7 end cell row 2 cell negative 5 end cell end table close square brackets end cell row blank equals cell fraction numerator 1 over denominator negative 15 minus left parenthesis negative 14 right parenthesis end fraction open square brackets table row 3 cell negative 7 end cell row 2 cell negative 5 end cell end table close square brackets end cell row blank equals cell fraction numerator 1 over denominator negative 15 plus 14 end fraction open square brackets table row 3 cell negative 7 end cell row 2 cell negative 5 end cell end table close square brackets end cell row blank equals cell fraction numerator 1 over denominator negative 1 end fraction open square brackets table row 3 cell negative 7 end cell row 2 cell negative 5 end cell end table close square brackets end cell row blank equals cell negative 1 open square brackets table row 3 cell negative 7 end cell row 2 cell negative 5 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 3 end cell 7 row cell negative 2 end cell 5 end table close square brackets end cell end table$

Jadi, invers matriks open square brackets table row cell negative 5 end cell 7 row cell negative 2 end cell 3 end table close square brackets adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets table row cell negative 3 end cell 7 row cell negative 2 end cell 5 end table close square brackets end cell end table .