Aljabar Linier Matriks – Invers Matriks -...
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Aljabar Linier Matriks – Invers Matriks Adri Priadana – ilkomadri.com Halaman 1 Mencaari Invers Matriks berordo 3x3 Menggunakan Matriks Transformasi Elementer Baris Diketahui A = 1 2 0 0 3 5 4 1 3 Tentukan invers matriks tersebut Menggunakan Matriks Transformasi Elementer Baris! 1 2 0 0 1 0 0 3 5 0 1 0 4 1 3 0 0 1 H 21 (-2) dan H 31 (-4) → 1 0 0 0 1 0 0 3 5 −2 1 0 0 1 3 −4 0 1 H 23 (-2) → 1 0 0 0 1 0 0 1 −1 6 1 −2 0 1 3 −4 0 1 H 32 (-1) → 1 0 0 0 1 0 0 1 −1 6 1 −2 0 0 4 −10 −1 3 H 3 (1/4) → 1 0 0 0 1 0 0 1 −1 6 1 −2 0 0 1 −5/2 −1/4 3/4 H 23 (1) → 1 0 0 0 1 0 0 1 0 7/2 3/4 −5/4 0 0 1 −5/2 −1/4 3/4 Jadi A -1 = 1 7/2 0 0 3/4 −5/4 −5/2 −1/4 3/4
Transcript of Aljabar Linier Matriks – Invers Matriks -...
Aljabar Linier Matriks – Invers Matriks
Adri Priadana – ilkomadri.com Halaman 1
Mencaari Invers Matriks berordo 3x3
Menggunakan Matriks Transformasi Elementer Baris
Diketahui A = 12
0 03 5
4 1 3
Tentukan invers matriks tersebut Menggunakan Matriks Transformasi Elementer Baris!
12
0 0 1 0 03 5 0 1 0
4 1 3 0 0 1 H21
(-2) dan H31
(-4) →
10
0 0 1 0 03 5 −2 1 0
0 1 3 −4 0 1 H23
(-2) →
10
0 0 1 0 01 −1 6 1 −2
0 1 3 −4 0 1 H32
(-1) → 10
0 0 1 0 01 −1 6 1 −2
0 0 4 −10 −1 3 H3
(1/4) →
10
0 0 1 0 01 −1 6 1 −2
0 0 1 −5/2 −1/4 3/4 H23
(1) →
10
0 0 1 0 01 0 7/2 3/4 −5/4
0 0 1 −5/2 −1/4 3/4
Jadi A-1
=
1 7/2
0 0
3/4 −5/4
−5/2 −1/4 3/4
