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Linear Algebra II | For the course MATH2102 and MATH1111 offered by Department of Mathematics of The University of Hong Kong (HKU) | hkumath1111.wordpress.com Reviews
https://hkumath1111.wordpress.com
For the course MATH2102 and MATH1111 offered by Department of Mathematics of The University of Hong Kong (HKU)
hkumath1111.wordpress.com
Lecture 25 | Linear Algebra II
https://hkumath1111.wordpress.com/2014/11/10/lecture-25-2
November 10, 2014. Filed under: 2014 Fall. 8212; Y.K. Lau @ 5:40 PM. We started inner product spaces and finished Section 10.1, covering some basic structures (see Lect25.pdf. More important (and deep) results, as listed below, will come up. Orthonormal basis and Gram-Schmidt process. Orthogonal complement and Projection. The adjoint of a linear operator (on inner product space). Orthogonal diagonalization and Principal axis theorem. Orthogonal similarity and Schur’s triangulation theorem.
Linear Transformation – A little overview | Linear Algebra II
https://hkumath1111.wordpress.com/2014/09/22/linear-transformation-a-little-overview
September 22, 2014. Linear Transformation – A little overview. Filed under: 2014 Fall. 8212; Y.K. Lau @ 7:24 PM. Today we start to study the linear transformation which is a big topic and an overview is given below. We have covered (1)-(4). The concepts of kernel. Of a linear transformation is a generalization of the nullspace. And the column space. Definition (and examples) of linear transformations. Induced by a matrix. Basic properties of a linear transformation (Thm 7.1.1). Of a linear transformation.
Lecture 23 | Linear Algebra II
https://hkumath1111.wordpress.com/2014/11/07/lecture-23-2
November 7, 2014. Filed under: 2014 Fall. 8212; Y.K. Lau @ 3:50 PM. Some remarks to supplement Friday’s lectures:. Has only 1 eigenvalue. And its geometric multiplicity is 1 (strictly less than its algebraic multiplicity 2), so. Indeed for this simple case, we may check that. Is not diagonalizable by brute-force. All cases are impossible as. Cayley-Hamilton’s Theorem says that for an. If its characteristic polynomial is. Some classmates asked if the characteristic equation. The answer is NO: it only means.
Lecture 22 | Linear Algebra II
https://hkumath1111.wordpress.com/2014/11/03/lecture-21-2
November 3, 2014. Filed under: 2014 Fall. 8212; Y.K. Lau @ 10:23 PM. A brief summary: Given a linear operator. On finite-dimensional vector space. For any ordered bases. Is an eigenvalue of. Is an eigenvalue of (any) matrix representation of. Wrt an ordered basis. Their eigenvectors are related via the coordinate isomorphism. (See p.458 in Lect21.pdf. Invariant subspace, then we are able to find a matrix representation in nice block form. (See p.455.). Leave a Comment ». Feed for comments on this post.
Lecture 16 | Linear Algebra II
https://hkumath1111.wordpress.com/2014/10/20/lecture-16-2
October 20, 2014. Filed under: 2014 Fall. 8212; Y.K. Lau @ 5:15 PM. Today we illustrated the use of the First Isomorphism Theorem, please see 1stFT(updated).pdf. Next we returned to Chapter 9. The motivation is based on. Induces a linear transformation. Can be represented by a matrix. In the sense that. Now we hope to extend the result to general vector spaces (i.e. to represent a general linear transformation by a matrix). The goal is clear and natural but how to do it is another matter. You are comment...
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Linear Algebra II | For the course MATH2102 and MATH1111 offered by Department of Mathematics of The University of Hong Kong (HKU)
November 20, 2014. Filed under: 2014 Fall. 8212; Y.K. Lau @ 8:59 PM. Today we learnt: Every linear operator. On inner product space has a “mate”. In today’s lecture we studied the definition of. Which is based on the important result: If. Is a linear transformation, then there exists unique. Is an orthonormal basis for. This result tells the relation between the matrix representations of. Below we shall see that self-adjoint operator. For some invertible matrix. For any ordered bases. Form a basis for.
HKU's MBA class of 2006 blog
HKU's MBA class of 2006 blog. Views expressed on this blog are entirely those of the participants and in no way reflect the views of the University of Hong Kong or HKU's School of Business. Tuesday, February 21, 2006. Sell your "used" books from your MBA. For HKU MBAs looking to sell their used textbooks, please see:. Http:/ chuli-sell.blogspot.com/. Doesn't look like any commission is being requested, so feel free to post. Or request if you are looking for a book. Posted by Richard Farmer at 7:08 pm.
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Department of Mechanical Engineering, HKU
Department of Mechanical Engineering. Message from Department Head. Route To Professional Engineers. Nanofluids and Thermal-Wave Fluids. Natural and built environment. Sound, vibration and control. Retired Staff on Part-time Appointment. Administrative and Clerical Staff. Professor C.L.Chow, Head of Department from 1982 to 1990, passed away on 28 May 2015 in Michigan. Memorial service will be held in Hong Kong on 15 August. Department of Mechanical Engineering. Department of Mechanical Engineering. Our s...
HKU Medic 2006
Photo Ordering Website for. Hong Kong Li Ka Shing. Prize Presentation Ceremony 200. Steps to ordering photos:. Select the photos you wish to order and specify the photo number (e.g. Ma100001) in the Order Form. To ensure accuracy, you may download the photo(s) you wish to order to your computer. This will enable you to confirm the exact photo number requested and counter check if the prints received are in order.). Master of Medical Sciences. Master of Research in Medicine and Master of Public Health.
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Please click below to express your condolences for Kate. This homepage is set up to maintain the linkage among our fellow classmates. Please kindly feel free to give any suggestions on this web site by mailing to the webmaster. Class Song and Cheers. Medical & Other Links. Webmasters: Winnie Wat, Raymond Li. Email to webmasters: medic97@mail.hongkong.com.
