Dimension of the null space or nullity | Vectors and spaces | Linear Algebra | Khan Academy
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Dimension of the Null Space or Nullity Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/dimension-of-the-column-space-or-rank?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/proof-any-subspace-basis-has-same-number-of-elements?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy
Comments
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What is the rank?
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Isn't saying N(A) = N(RREF(A)) completely redundant, since A = RREF(A) ??
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thanks it helps a lot
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Useful... thank you..
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thank you very much sir , i have final exam in this after one hour
you really explained everything for me better than that one we called prof in our college -
Vaguely useful? are you kidding me, thus was great! Thanks for the help Sal!
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your handwriting is just like mine!
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perfect!!!
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Thank you so much man!!!! You are awesome!
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This guys is the best. But let's face it if universities and colleges could hire professors like this guy who can "teach" a concept and "explain" thoroughly then people would not even have to resort to watching his videos as last minute life savers before a test or exam. Just because someone has a PHD in a subject does not necessarily mean they can teach it. They might be a complete expert and genius in that subject but getting other people to learn it and teaching it to them is a completely different story. The institutes should look at Khan's videos as an example how a great teacher should explain concepts and questions to someone rather than looking at whether they have got a PHD or doctorate in a course.
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Why can't every lecturer explain as clearly and simply as this?
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oh my god you go extremely slow thanks for wasting my time
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Jeeeez what snoozzzzeefest. #YAAAAWWWWWNNNN
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skipped whole 6 month classes watch all videos . passed
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skip class, watch khan videos instead!
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Hes so smart, not even funny
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Teach at my school please???
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i have a test in 20 minutes and his videos saved my life
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so good
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Damn this was really helpful.
13m 59sLenght
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