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Tentukan invers matriks berikut. 1. Q = [ − 2 3 ​ 1 − 4 ​ ]

Tentukan invers matriks berikut.

1.  

  1. ...space 

  2. ...undefined 

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

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inver matriks atau adalah

inver matriks begin mathsize 14px style Q end style atau begin mathsize 14px style Q to the power of negative 1 end exponent end style adalah begin mathsize 14px style open square brackets table row cell negative 4 over 5 end cell cell negative 1 fifth end cell row cell negative 3 over 5 end cell cell negative 2 over 5 end cell end table close square brackets end style  

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Diketahui matriks , maka: Jadi inver matriks atau adalah

Diketahui matriks begin mathsize 14px style Q equals open square brackets table row cell negative 2 end cell 1 row 3 cell negative 4 end cell end table close square brackets end style, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Q to the power of negative 1 end exponent end cell equals cell fraction numerator 1 over denominator det space Q end fraction cross times Adj space Q end cell row blank equals cell fraction numerator 1 over denominator left parenthesis negative 2 cross times left parenthesis negative 4 right parenthesis right parenthesis minus left parenthesis 3 cross times 1 right parenthesis end fraction open square brackets table row cell negative 4 end cell cell negative 1 end cell row cell negative 3 end cell cell negative 2 end cell end table close square brackets end cell row blank equals cell fraction numerator 1 over denominator 8 minus 3 end fraction open square brackets table row cell negative 4 end cell cell negative 1 end cell row cell negative 3 end cell cell negative 2 end cell end table close square brackets end cell row blank equals cell 1 fifth open square brackets table row cell negative 4 end cell cell negative 1 end cell row cell negative 3 end cell cell negative 2 end cell end table close square brackets end cell row blank equals cell open square brackets table row cell negative 4 over 5 end cell cell negative 1 fifth end cell row cell negative 3 over 5 end cell cell negative 2 over 5 end cell end table close square brackets end cell end table end style 

Jadi inver matriks begin mathsize 14px style Q end style atau begin mathsize 14px style Q to the power of negative 1 end exponent end style adalah begin mathsize 14px style open square brackets table row cell negative 4 over 5 end cell cell negative 1 fifth end cell row cell negative 3 over 5 end cell cell negative 2 over 5 end cell end table close square brackets end style  

Latihan Bab

Konsep Kilat

Pengertian Matriks

Operasi Hitung Matriks

Invers Matriks

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Diketahui matriks A = [ 2 1 ​ − 1 3 ​ ] dan B = [ 4 7 ​ 1 − 2 ​ ] tentukanlah: b. B T ⋅ A − 1

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