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]

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]

This 10-minute video lesson shows how to figure out a normal vector to a plane from its equation. [Linear Algebra playlist: Lesson 141 of 143]

This 13-minute video lesson shows how to calculate the null space of a matrix. [Linear Algebra playlist: Lesson 35 of 143]

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]

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]

This 11-minute video lesson shows that orthogonal matrices preserve angles and lengths. [Linear Algebra playlist: Lesson 129 of 143]

This 11-minute video lesson proves the "associative," "distributive," and "commutative" properties for vector dot products.

This 23-minute video lesson looks at Rowspace and Left Nullspace. [Linear Algebra playlist: Lesson 97 of 143]

This 9-minute video lesson provides definitions of the vector dot product and vector length.

This 20-minute video lesson looks at the relationship between left nullspace, rowspace, column space and nullspace. [Linear Algebra playlist: Lesson 98 of 143]

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.

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).

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).

This art history video lecture examines Ambrogio Lorenzetti's "Presentation of Jesus in the Temple", 1342, tempera on panel, (Galleria degli Uffizi, Florence).

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).

This art history video discussion examines Lucas Cranach the Elder's "Cupid complaining to Venus", c. 1525, oil on wood (The National Gallery, London).