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    공학 >기계ㆍ금속 >기계공학
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    2013년 2학기
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Systems of linear Equations, Matrix Algebra, Euclidean Vector Space, Eigenvalues and Eigenvectors
Systems of linear equations
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차시별 강의

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1. Systems of linear equations definition of vector, algebraic structures of vector space URL
Systems of linear equations pivots, ranks, free variables, augmented matrix, Gaussian elimination URL
2. Systems of linear equations Gauss-Jordan elimination URL
Systems of linear equations existence and uniqueness of systems of linear equations, floating-point number,partial pivoting,ill- conditioned system URL
3. matrix multiplication, matrix inverse full column rank, full row rank, left inverse, right inverse, two-sided inverse URL
4. matrix multiplication, matrix inverse one-to-one (injective) mapping, onto(surjective) mapping, bijective mapping, Fredholm alternative URL
matrix multiplication, matrix inverse Gauss-Jordan elimination by block matrics, Sherman_Morrison_Woodbury formula URL
5. vector space span,linear dependent and independent, basis, dimensions, transition matrix (changes of basis) URL
vector space column space, basic columns, full rank factorization, Vandemonde matrices URL
6. determinants permutations, transpositions, parity, minors, cofactors, determinant of triangular matrices URL
7. determinants Cramer's rule,determinants calculation by block matrices URL
determinants, cross products cross product, Vandermonde determinant URL
8. Linear transformation More about rank, Linear transformation URL
Linear transformation Linear transformation, Adjoint operator URL
9. Linear transformation Transposed matrix, Symmetric matrix, self-adjoint-operator URL
Linear transformation Four fundamental subspaces URL
10. Inner product space orthogonal projection,Gram Schmidt algorithm, QR decomposition, revised Gram Schmidt algorithm URL
Inner product space overdetermined systems, method of least squares, underdetermined system, minimum norm problems URL
11. Eigenvalue problems eigenvalues, eigenvectors, characteristic polynomials, characteristic equations URL
Eigenvalue problems Spectral theorem, Cayley-Hamilton theorem, Self-adjoint operators, Unitary operator, Hermitian operators URL
12. Eigenvalue problems Sylvesters formula, difference equations, Fibonacci numbers, dfferential equations URL
Eigenvalue problems Differential Equations (Boundary value problems), Toeplitz matrices, Tridiagonal matrices, Boundary Conditions URL
13. Eigenvalue problems Normal Modes of Oscillation, Bilinear Forms, Quadratic Forms, Quadratic Equations, Conic Sections, Positive Definite Forms URL
Singular Value Decomposition SVD (Singular Value Decomposition), Pseudoinverse, Algebraic Multiplicity, Geometric Mulitiplicity URL

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hwi0705 2020-03-12 16:28
완강!!!
yong108 2018-11-09 18:14
완강했습니다! 직강듣고 싶어요!!!
운영자2017-11-09 09:22
KOCW운영팀입니다. 강의 확인하였으나 음성은 정상적으로 나오고 있습니다. PC의 쿠키정보 등 설정을 변경하고 다시 이용해 보시기 바랍니다.
rearchi 2017-11-08 22:06
소리가 나지 않습니다...어덯게 들어야 할가요?
운영자2016-05-20 09:34
KOCW운영팀입니다. 부산대학교로 교재정보를 문의하였습니다. 답변이 오는 대로 안내드리도록 하겠습니다.
gohjum 2016-05-19 16:17
교재 이름 알 수 있을까요?

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