Ruang Vektor: Pendekatan formal Edi Cahyono Jurusan Matematika FMIPA Universitas Haluoleo Kendari..::.. Indonesia
Definisi Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia V : himpunan tak kosong, dan terdapat operasi penjumlahan dan perkalian dengan skalar. V dikatakan ruang vektor bila aksioma-aksioma berikut dipenuhi.
Aksioma-aksioma Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Aksioma-aksioma Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Teorema Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Bukti a ) Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia Aksioma 4 Aksioma 5 Aksioma 3 Aksioma 8 Sifat penjumlahan bil. Real Aksioma 5
Definisi Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia V : ruang vektor dan W dikatakan sub ruang dari V bila W ruang vektor dengan operasi seperti pada V.
Teorema Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Definisi Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Teorema Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Bukti a ) Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia 1) 2) 3) Ini membuktikan W subruang dari V.
Bukti b ) Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia Ini membuktikan W himpunan bagian dari V.
Definisi Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Teorema Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Definisi Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Teorema Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Teorema Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Teorema Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Definisi Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Teorema Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia
Department of Mathematics Universitas Haluoleo Kendari..::.. Indonesia