6-7.matrik dan vektor -...
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![Page 1: 6-7.Matrik dan Vektor - nuredy.comnuredy.com/wp-content/uploads/2017/11/6-7.Matrik-dan-Vektor.pdf · Kesamaan Matriks dan vektor • DuaMatriks dikatakansamaapabila keduanyaberordosamadan](https://reader034.vdocuments.site/reader034/viewer/2022052117/5c882a6e09d3f2bb368b467d/html5/thumbnails/1.jpg)
MATRIKS DANVEKTOR
MK.Matematika
PERTEMUANVIdan VII
DosenPengampu:NurEdy,PhD.
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ReviewMatriks&Vektor
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ReviewMatriks
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ReviewMatriks
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ReviewMatriks
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ReviewMatriks
• Lakukanhalyangsamauntukbariske-2dankolom1(1,2,3)•(8,10,12)=1×8+2×10+3×12=64
• Selanjutnyabariske-2dankolom1(4,5,6)•(8,10,12)=4×8+5×10+6×12=154
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ReviewMatriks
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ReviewVektor
• Secara sederhana pengertian vektoradalahbesaran yangmempunyai nilai dan arah.
• Vektor:bentuk Matrikskhusus yanghanyamempunyai satu baris atau satu kolom.àvektorbaris (berbaris tunggal)dan vektorkolom(berkolom tunggal)
• Contoh dari besaran ini misalnyaperpindahan, kecepatan,percepatan, gaya,dan sebagainya.
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ReviewVektor
[ ][ ]
úúú
û
ù
êêê
ë
é-=
úúú
û
ù
êêê
ë
é=
==
97
5
263
kolomVektor
736542 barisvektor
dc
b - a
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Kesamaan Matriks dan vektor• Dua Matriks dikatakan sama apabila keduanya berordo sama dan
semua unsur yang terkandung di dalamnya sama (aij = bij, untuksetiap i dan j)contoh :
• Dua buah vektor dikatakan sama apabila keduanya sejenis, sedimensi dan semua unsur yang terkandung di dalamnya sama.Contoh :
[ ]
[ ]532
53
2
842
532
-=
úúú
û
ù
êêê
ë
é-=
úúú
û
ù
êêê
ë
é=-=
b
vuaMaka a = b,
u ≠ v, a ≠ u ≠ v
dan b ≠ u ≠ v
CBC,A B,A maka428532
428532
428532
¹¹=
úû
ùêë
é=ú
û
ùêë
é -=ú
û
ùêë
é -= CBA
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MATRIKS
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Operasi Matriks
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Determinasidan Sifat Dasar Determinan
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Kombinasi Linear
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1236A=1242
0000(3x4)
B=12 =d(B)=(1x2)– (2x1)=012
C=36 =d(C)=(3x2)– (4x6) =6-24 =-1842Jadi,Matriksnya adalah ordo2x2atau ranknya adalah 2
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VEKTOR
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Pada garis berarahdari titik Ake titik BdiR3mempunyai panjang tertentu dinyatakansebagai vektor.Sehingga vektordalam matematika dapatdinotasikandengan:
Atau dapat juga dinyatakan sebagai :
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Panjang Vektor
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VektorSatuan
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Operasi Penjumlahan,Pengurangan danPerkalian Vektordangan Skalar
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Operasi Penjumlahan,Pengurangandan Perkalian Vektordangan Skalar
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Rumus Perbandingan,Perkalian Skalar Proyeksidan Perkalian Silang Vektor
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Selesai
Minggu depan midtest
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Bahan MidTest
• 1nomor tentang SistemBilangan• 1 nomor tentang persamaan dan pertidaksamaan
• 1nomor tentang permutasi dan kombinasi• 2nomor tentang vektordan matriks