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Linear Algebra: Matrices: Reduced Row Echelon Form 1
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This 18-minute video lesson shows how to solve a system of linear equations by putting an augmented matrix into reduced row echelon form. [Linear Algebra playlist: Lesson 30 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Matrices: Reduced Row Echelon Form 3
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CC BY-NC-SA
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This 12-minute video lesson provides another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form. [Linear Algebra playlist: Lesson 32 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Null Space 3: Relation to Linear Independence
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This 12-minute video lesson discusses how to understand how the null space of a matrix relates to the linear independence of its column vectors. [Linear Algebra playlist: Lesson 36 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Orthogonal Complement of the Orthogonal Complement
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This 12-minute video lesson finds that the orthogonal complement of the orthogonal complement of V is V. [Linear Algebra playlist: Lesson 103 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra:  Orthogonal Matrices Preserve Angles and Lengths
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CC BY-NC-SA
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This 11-minute video lesson shows that orthogonal matrices preserve angles and lengths. [Linear Algebra playlist: Lesson 129 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Proving Vector Dot Product Properties
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 11-minute video lesson proves the "associative," "distributive," and "commutative" properties for vector dot products.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Visualizations of Left Nullspace and Rowspace
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CC BY-NC-SA
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This 20-minute video lesson looks at the relationship between left nullspace, rowspace, column space and nullspace. [Linear Algebra playlist: Lesson 98 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Perspective: Brunelleschi's Experiment
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CC BY-NC-SA
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This art history video discussion provides an introduction to Filippo Brunelleschi's experiment regarding linear perspective, c. 1420, in front of the Baptistry in Florence.

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Date Added:
07/07/2021
Lippi's Portrait of a Man and Woman at a Casement
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CC BY-NC-SA
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This art history video discussion examines Fra Fillippo Lippi's "Portrait of a Man and Woman at a Casement", tempera on wood, c. 1440 (Metropolitan Museum of Art).

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
David Drogin
Date Added:
07/07/2021
Looking at Millais's Ophelia and Newman's Vir Heroicus Sublimis
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CC BY-NC-SA
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This art history video lesson looks at Sir John Everett Millais' "Ophelia", 1851-52, oil on canvas (Tate Britain, London); and Barnett B. Newman's "Vir Heroicus Sublimis", oil on canvas, 1950-51 (MoMA).

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Sal Kahn
Steven Zucker
Date Added:
07/07/2021
Lorenzetti's Presentation of Jesus in the Temple
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CC BY-NC-SA
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This art history video lecture examines Ambrogio Lorenzetti's "Presentation of Jesus in the Temple", 1342, tempera on panel, (Galleria degli Uffizi, Florence).

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Date Added:
07/07/2021
Lucas Cranach's Judith with the Head of Holofernes
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CC BY-NC-SA
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This art history video discussion examines Lucas Cranach the Elder's "Judith with the Head of Holofernes", c. 1530, oil on panel (Kunsthistorisches Museum, Vienna).

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Date Added:
07/07/2021
Lucas Cranach the Elder's Cupid complaining to Venus
Conditional Remix & Share Permitted
CC BY-NC-SA
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This art history video discussion examines Lucas Cranach the Elder's "Cupid complaining to Venus", c. 1525, oil on wood (The National Gallery, London).

Subject:
Art History
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Date Added:
07/07/2021