Interactive Linear Algebra by Dan Margalit and others (2019)

By Dan Margalit, Joseph Rabinoff.

Publisher: Georgia Institute of Technology (online host and colophon copyright holder).

Front matter: textbooks.math.gatech.edu/ila/

The front matter credits Dan Margalit and Joseph Rabinoff and is dated 3 June 2019. This is the online version date; the colophon copyright is 2017: textbooks.math.gatech.edu/ila/colophon-1.html

Online text: textbooks.math.gatech.edu/ila/projections.html

Section of Interactive Linear Algebra by Dan Margalit and others, by Dan Margalit and Joseph Rabinoff; no separate chapter byline or date is asserted. The parent record's 2019 year dates the front matter; the colophon copyright is 2017.

Cited passages: §6.3.1, Orthogonal decomposition theorem and Closest vector and distance; §6.3.2, Properties of Orthogonal Projections.

Online text: textbooks.math.gatech.edu/ila/solution-sets.html

Cited passages: Margalit and Rabinoff, Interactive Linear Algebra, §2.4.2, Key Observation and Remark: translate the homogeneous solution set by any particular solution.

Online text: textbooks.math.gatech.edu/ila/rank-thm.html

Cited passages: Margalit and Rabinoff, Interactive Linear Algebra, §2.9, Rank Theorem: column count equals rank plus nullity.

Section of Interactive Linear Algebra by Dan Margalit and others by its whole-book authors Dan Margalit and Joseph Rabinoff; no separate chapter byline or date is asserted.

Online text: textbooks.math.gatech.edu/ila/row-reduction.html

Cited passages: §1.2.1, Augmented Matrices and Row Operations: preservation of solutions; §1.2.2, Echelon Forms: leading entries and reduced form; §1.2.3, definitions of pivot position and pivot column.

Section of Interactive Linear Algebra by Dan Margalit and others by its whole-book authors Dan Margalit and Joseph Rabinoff; no separate chapter byline or date is asserted.

Online text: textbooks.math.gatech.edu/ila/one-to-one-onto.html

Cited passages: §3.2.1, One-to-one matrix transformations theorem and Wide matrices do not have one-to-one transformations; §3.2.2, Onto matrix transformations theorem and Tall matrices do not have onto transformations.