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~25 Timodyuli / ~400 matluka
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Aljebra ya Linear
( 24 Timodyuli )

modyuli #1
Xingheniso xa Aljebra ya Linear
Nkatsakanyo wa khoso, nkoka wa algebra ya linear, na miehleketo ya masungulo
modyuli #2
Matirhelo ya Vector
Ku engetela, ku andzisiwa ka xikalo, na swihlawulekisi swa xisekelo swa vekitara
modyuli #3
Swivandla swa Vector
Nhlamuselo, swikombiso, na swihlawulekisi swa swivandla swa vector
modyuli #4
Subspaces
Nhlamuselo, swikombiso, na swihlawulekisi swa swivandla leswitsongo
modyuli #5
Span na Basis
Span ya sete ya vectors, xisekelo xa vector ndhawu, na tithiyori ta xisekelo
modyuli #6
Ntshunxeko wa Linear
Nhlamuselo, swikombiso, na swikambelo swa ku tiyimela ka linear
modyuli #7
Dimension na Rank
Dimension ya ndhawu ya vector, rank ya matrix, na vuxaka exikarhi ka swona
modyuli #8
Matirhelo ya Matriki
Ku engetela, ku andzisiwa ka xikalo, na ku andzisiwa ka matiriki
modyuli #9
Inverse na Determinant ya Matrix
Nhlamuselo, swihlawulekisi, na swibalo swa inverse na determinant ya matrix
modyuli #10
Ku Cinca ka Linear
Nhlamuselo, swikombiso, na swihlawulekisi swa ku hundzuka ka linear
modyuli #11
Swiyimeri swa matiriki swa ku cinca ka linear
Swiyimeri swa matiriki swa ku hundzuka ka linear na swihlawulekisi swa swona
modyuli #12
Eigenvalues ​​na Eigenvectors
Nhlamuselo, xibalo, na swihlawulekisi swa eigenvalues ​​na eigenvectors
modyuli #13
Diagonalization ya Matrices
Diagonalization ya matrices, diagonalizability, na matirhiselo
modyuli #14
Orthogonality na Orthonormality
Tivector ta orthogonal na orthonormal, phurosese ya Gram-Schmidt, na ti projections ta orthogonal
modyuli #15
Matirisisi ya Orthogonal na ku bola ka QR
Matirisisi ya orthogonal, ku bola ka QR, na matirhiselo
modyuli #16
Tisisiteme ta Linear na Matirhelo ya Tilayini
Tisisiteme ta Linear, matirhelo ya row, na tisisiteme to tlhantlha hi ku tirhisa ku herisiwa ka Gaussian
modyuli #17
Null Space na Column Space
Null space na Column space ya matiriki, na vuxaka exikarhi ka swona
modyuli #18
Xifaniso na Kernel
Xifaniso na kernel ya ku hundzuka ka linear, na vuxaka exikarhi ka swona
modyuli #19
Singular Value Decomposition (SVD)
Nhlamuselo, swihlawulekisi, na matirhiselo ya SVD
modyuli #20
Markov Chains na PageRank
Xingheniso xa ti Markov chains, PageRank algorithm, na matirhiselo
modyuli #21
Computer Graphics na Linear Algebra
Ku tirhisiwa ka algebra ya linear eka swifaniso swa khompyuta
modyuli #22
Dyondzo ya michini na Algebra ya Linear
Matirhiselo ya algebra ya linear eka dyondzo ya muchini
modyuli #23
Statistics na Linear Algebra
Matirhiselo ya algebra ya linear eka tinhlayo
modyuli #24
Ku Pfuxeta & Mahetelelo ya Khoso
Ku pulana magoza lama landzelaka eka ntirho wa Linear Algebra


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