A Vision of Linear Algebra
Instructor: Gilbert Strang
View the complete course: https://ocw.mit.edu/2020-vision
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61iQEFiWLE21EJCxwmWvvek
In this video, Professor Strang provides an overall look at linear algebra by highlighting five different ways that a matrix gets factored.
For every matrix A, four key vector spaces are the row space and nullspace of A and its transpose.
To compute with A, we factor it into A = (column space basis) times (row space basis).
The simplest basis uses independent columns taken directly from the matrix A.
The best bases of all use *orthogonal* vectors from the column space and the row space of A.
These “singular vectors” produce the great Singular Value Decomposition!
License: Creative Commons BY-NC-SA
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More courses at https://ocw.mit.edu
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Speakers: Shiba Nemat-Nasser, Sharon Lin, Yvonne Ng, Robert J. Awkward, Amy Brand, Chris Bourg, Michel Anne-Frederic DeGraff, Hal Abelson, Sally Kornbluth, Gil Strang
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,1,MIT 14.02 Principles of Macroeconomics, Spring 2023
Instructor: Ricardo J. Caballero
View the complete course: https://ocw.mit.edu/courses/14-02-introduction-to-macroeconomics-spring-2023
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Prof. Caballero spends this lecture reviewing material for the upcoming quiz.
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,1,Subscribe to Chalk Radio ➜ https://chalk-radio.simplecast.com
This episode features a wide-ranging conversation about poetry: what it is, where it comes from, and why it matters. Our guest, poet (and poetry professor) Joshua Bennett, talks about the early experiences that pushed him toward poetry and about the people who shaped and inspired his creative approach as a writer. Many of these people are fellow poets, others are his own grandparents, parents, and teachers, but Prof. Bennett has also found inspiration in less expected figures; over the course of the interview, he name-checks the singers Yolanda Adams and Marvin Gaye, the biologists Charles Henry Turner and Ernest Everett Just, the astronaut Mae Jemison, and various characters from the TV series Star Trek: the Next Generation. Other topics Prof. Bennett addresses include the relation between poetry and generative AI (his own work is among the vast body of text that has been fed as training data into large language models), education as liberation, and the concept of social poetics. Eventually, the interview blossoms into a heartfelt meditation on human experience: childhood, aging, parenthood, identity, and the ways poetry enhances our humanity by capturing the magic of being alive.
Relevant Resources:
MIT OpenCourseWare (https://ocw.mit.edu)
The OCW Educator Portal (https://ocw.mit.edu/educator)
Joshua Bennett’s faculty page (https://lit.mit.edu/joshua-bennett/)
Joshua Bennett (Poetry Foundation) (https://www.poetryfoundation.org/poets/joshua-bennett)
Aracelis Girmay, from The Black Maria (https://www.poetryfoundation.org/poems/141994/i-the-black-maria)
June Jordan, “The Difficult Miracle of Black Poetry in America” (https://www.poetryfoundation.org/articles/68628/the-difficult-miracle-of-black-poetry-in-america)
Charles Henry Turner (Wikipedia) (https://en.wikipedia.org/wiki/Charles_Henry_Turner_(zoologist))
Ernest Everett Just (Wikipedia) (https://en.wikipedia.org/wiki/Ernest_Everett_Just)
Mae Jemison (Wikipedia) (https://en.wikipedia.org/wiki/Mae_Jemison)
Music in this episode by Blue Dot Sessions (https://www.sessions.blue/)
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,1,MIT 21G.S56 Japanese VI, Spring 2023
Instructor: Takako Aikawa
View the complete course: https://ocw.mit.edu/courses/21g-s56-japanese-vi-spring-2023
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62Mr5APSizHgFa0hRiWgPln
This video covers grammar sections 1–8 in lesson 9 of the Tobira textbook.
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Speakers: Takako Aikawa
,1,MIT 6.100L Introduction to CS and Programming using Python, Fall 2022
Instructor: Ana Bell
View the complete course: https://ocw.mit.edu/courses/6-100l-introduction-to-cs-and-programming-using-python-fall-2022/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62A-ynp6v6-LGBCzeH3VAQB
This lecture discusses the core elements of programs: strings, input/output, f-strings, operators, branching, and indentation. Big idea: Debug early, debug often. Write a little and test a little. Don’t write a complete program at once. It introduces too many errors. Use the Python Tutor to step through code when you see something unexpected!
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,1,A Vision of Linear Algebra
Instructor: Gilbert Strang
View the complete course: https://ocw.mit.edu/2020-vision
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61iQEFiWLE21EJCxwmWvvek
In this video, Professor Strang provides an overall look at linear algebra by highlighting five different ways that a matrix gets factored.
For every matrix A, four key vector spaces are the row space and nullspace of A and its transpose.
To compute with A, we factor it into A = (column space basis) times (row space basis).
The simplest basis uses independent columns taken directly from the matrix A.
The best bases of all use *orthogonal* vectors from the column space and the row space of A.
These “singular vectors” produce the great Singular Value Decomposition!
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
