Null space and column space basis | Vectors and spaces | Linear Algebra | Khan Academy
Figuring out the null space and a basis of a column space for a matrix
Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/visualizing-a-column-space-as-a-plane-in-r3?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/column-space-of-a-matrix?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
Видео Null space and column space basis | Vectors and spaces | Linear Algebra | Khan Academy канала Khan Academy
Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/visualizing-a-column-space-as-a-plane-in-r3?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/column-space-of-a-matrix?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
Видео Null space and column space basis | Vectors and spaces | Linear Algebra | Khan Academy канала Khan Academy
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
Introduction to the null space of a matrix | Vectors and spaces | Linear Algebra | Khan AcademyInverse matrices, column space and null space | Chapter 7, Essence of linear algebraNullspace Column Space and RankBasis of a subspace | Vectors and spaces | Linear Algebra | Khan AcademyLinear Algebra - 19 - Basis for Column SpaceDimension of the null space or nullity | Vectors and spaces | Linear Algebra | Khan AcademyDimension of the column space or rank | Vectors and spaces | Linear Algebra | Khan AcademyGilbert Strang: Linear Algebra, Teaching, and MIT OpenCourseWare | Lex Fridman Podcast #52Change of basis | Chapter 13, Essence of linear algebra6. Column Space and NullspaceBasis and Dimension | MIT 18.06SC Linear Algebra, Fall 2011Rowspace and left nullspace | Matrix transformations | Linear Algebra | Khan AcademyThe Null Space & Column Space of a Matrix | Algebraically & GeometricallyThree Subspaces Associated with a Matrix: Nullspace, Rowspace, and ColspaceLinear combinations and span | Vectors and spaces | Linear Algebra | Khan AcademyFinding the Null Space, Row Space, and Column Space of a MatrixIndependence, Basis, and DimensionPart 1: The Column Space of a MatrixNull space of a matrixBasis and Dimension