MTE3110

KAEDAH MENCARI SONGSANG – KAEDAH ADJOIN

A=[a11 a12 a13b21 b22 b23c31 c32 c33

]LANGKAH 1: HITUNGKAN PENENTU MATRIKS

|A|=(a11)(−1)1+1|b22 b23c32 c33|+(a12)(−1)1+2|b21 b23

c31 c33|+(a13 )(−1)1+3|b21 b22c31 c32|

LANGKAH 2: HITUNGKAN MATRIKS KOFAKTOR

[ a11=|b22 b23c32 c33|=x11 a12=−|b21 b23

c31 c33|=x12 a13=|b21 b22c31 c32|=x13

b21=−|a12 a13c32 c33|= y21 b22=|a11 a13

c31 c33|= y22 b23=−|a11 a12c31 c32|= y23

c31=|a12 a13b22 b23|=z31 c32=−|a11 a13

b21 b23|=z32 c33=|a11 a12b21 b22|=z33 ]

LANGKAH 3: DAPATKAN MATRIKS ADJOIN DENGAN MELAKUKAN TRANSPOSISI MATRIKS KOFAKTOR

MTE3110 – ALICIAJUNEAJEN – T3MT1 – 2014

[ x11 x12 x13y21 y22 y23z31 z32 z33

]T

→[ x11 y21 z31x12 y22 z32x13 y23 z33

]LANGKAH 4: GANTIKAN KE DALAM RUMUS

A−1= 1|A|

adj(A )

MTE3110 – ALICIAJUNEAJEN – T3MT1 – 2014