pertemuan 13 alin 2017 bilqis - subakti · 2018-11-15 · inner product; inner product, basis...
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Pertemuan 13
Alin 2017
BilqisInner Product; Inner Product, Basis
Ortonormal, Gram Schimt,
Orthogonal Matrix.
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bilqis 2
Inner produck dan
orthogonality
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= Nullspace of A
Arti ➔ w1, w2, w3 dan w4 tegak lurus terhadap nullspace A
➔ Lihat pertemuan 12
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Orthonormal Basis & Gram-Schmidt
Proses
Orthogonal matrix & change basis
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• Cara menentukan basis
– Cari basis sendiri ➔ basis baru
– Dari vektor-vektor yang ada ➔ basis dari vektor-vektor lama
• Ortonormal
– Ortogonal
– Tiap vektor normanya(panjangnya) 1
• Normalisasi ➔ proses membagi V dengan panjangnya ||V|| agar normanya 1
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Apakah v1, v2 dan v3
ortonormal ?• Jika tidak, maka jadikan menjadi
ortonormal
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That <v1,v2> = <v1,v3> = <v2,v3> = 0
||v1|| = ||v2|| = ||v3|| = 1
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−=
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2595
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=
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0
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