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Baca selanjutnya di : ilmuti.com

Persamaan Linier Pada Matriks

_Aljabar linear adalah bidang studi matematika yang mempelajari sistem persamaan linear dan solusinya, vektor, serta transformasi linear. Matriks dan operasinya juga merupakan hal yang berkaitan erat dengan bidang aljabar linear.

_
Kita sering menemui persamaan linier dengan beberapa variabel. Di dalam aljabar, solusi persamaan tersebut bisa ditemukan, salah satunya dengan menggunakan matriks. Misalkan kita tinjau sistem persamaan linier dengan variabel x1 dan x2.

x1 – 2 x2 = 32 12 x1 + 5 x2 = 7

Dalam bentuk matriks bisa kita tuliskan:

X = A-1B ; di mana A-1 ialah invers matriks A

Dalam MATLAB kita tuliskan:

>> A=[1 –2;12 5]; B=[32;7]; >> X=inv(A)*B X = 6.0000 -13.0000

Sehingga kita dapatkan solusi x1 = 6 dan x2 = -13. Atau kita juga bisa mendapatkan solusi tersebut dengan operator pembagian terbalik:

>> X=A\B X = 6.0000 -13.0000

Sebagai bahan latihan, cobalah Anda pecahkan persamaan linier dengan tiga variabel berikut ini.

x + 2y + 3z = 2 4x + 5y + 6z = -5,5 7x + 8y – 9z = -49

Transposisi

Salah satu operasi yang penting dalam matriks ialah transposisi, dituliskan dalam MATLAB dengan operator petik tunggal ( ‘ ) dan titik-petik ( .’ ). Operasi ini mempertukarkan baris dan kolom dari suatu matriks atau vektor.

Mari kita praktekkan contoh berikut ini untuk memahami kedua operator di atas.

>> Mat_riil=[1 0; 3 5], Mat_kompleks=[1+2i 3i; 1 2+3i] Mat_riil = 1 0 3 5 Mat_kompleks = 1.0000 + 2.0000i 0 + 3.0000i 1.0000 2.0000 + 3.0000i >> Transp_riil=Mat_riil’,Transp_kompleks=Mat_kompleks’ Transp_riil = 1 3 0 5 Transp_kompleks = 1.0000 – 2.0000i 1.0000 0 – 3.0000i 2.0000 – 3.0000i >> Transp_riil2=Mat_riil.’ Transp_riil2 = 1 3 0 5 >> Transp_kompleks2=Mat_kompleks.’ Transp_kompleks2 = 1.0000 + 2.0000i 1.0000 0 + 3.0000i 2.0000 + 3.0000

Sumber : udienskhusy.com/search/operasi-pembagian–pada–matriks

Penjumlahan dan Pengurangan Matrik Bagian 2

Sumber : http://prodisi.wordpress.com/2009/06/01/operasi-pada-matrik/

Penjumlahan dan Pengurangan Matrik Bagian 1

Sumber : ilab.gunadarma.ac.id

Profil

 

Nama                                        : Puspa Widanti

Alamat                                      : Villa Tomanng Baru, Tangerang

Agama                                      : Islam

Tempat Tanggal Lahir         : Pangkal Pinang, 12 Maret 1993

Pendidikan                            : Sedang Proses Diploma 3

Hoby                                      : membaca comik, renang, dsb

Absensi

kuitansi tanda bukti poster sesion

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