Linear Independence
http://www.maa.org/taxonomy/term/42296/0
enLinear Algebra in the Financial World
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/linear-algebra-in-the-financial-world
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Linear algebra is used to study financial trading strategies and expectations. Financial conditions are examined via matrix equations, using rank, column space, and null space arguments.</em></p>
</div></div></div>When is Rank Additive?
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/when-is-rank-additive
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>This capsule presents necessary and sufficient conditions for the matrix rank of a sum to be the sum of the ranks. The crux of the argument uses the fact that the rank of a matrix is the size of its largest invertible submatrix.</em></p>
</div></div></div>Starting with Two Matrices
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/starting-with-two-matrices
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>The author offers two examples that illustrate important central ideas in introductory linear algebra (independent or dependent vectors; invertible or singular matrices) which may aid students in developing conceptual understanding before any general theory is attempted.</p>
</div></div></div>Change of Basis
http://www.maa.org/programs/faculty-and-departments/course-communities/change-of-basis
Linear Algebra Toolkit
http://www.maa.org/programs/faculty-and-departments/course-communities/linear-algebra-toolkit-0
A colorful linear combination demo (applet included)
http://www.maa.org/programs/faculty-and-departments/course-communities/a-colorful-linear-combination-demo-applet-included
Bases of sums and intersections of subspaces
http://www.maa.org/programs/faculty-and-departments/course-communities/bases-of-sums-and-intersections-of-subspaces
Curve fitting project
http://www.maa.org/programs/faculty-and-departments/course-communities/curve-fitting-project
Linear Equations: Row and Column View
http://www.maa.org/programs/faculty-and-departments/course-communities/linear-equations-row-and-column-view
Coordinates of a Point Relative to a Basis in 2D
http://www.maa.org/programs/faculty-and-departments/course-communities/coordinates-of-a-point-relative-to-a-basis-in-2d
Linear Transformation Given by Images of Basis Vectors
http://www.maa.org/programs/faculty-and-departments/course-communities/linear-transformation-given-by-images-of-basis-vectors
Change of Basis in 2D
http://www.maa.org/programs/faculty-and-departments/course-communities/change-of-basis-in-2d
A Tricky Linear Algebra Example
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-tricky-linear-algebra-example
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>In this article a classroom "trick" involving square arrangements of natural numbers is used to motivate a discussion of a special class of matrices. In particular, a basis is obtained for those \(n\) by \(n\) square matrices with the property that if \(n\) entries are selected from the matrix so that no two values are in the same row or the same column, then the sum of these \(n\) entries will always be the same.</em></p>
</div></div></div>Classroom Capsules and Notes for Linear Independence in Linear Algebra
http://www.maa.org/programs/faculty-and-departments/course-communities/classroom-capsules-and-notes-for-linear-independence-in-linear-algebra
Transforming Linear Algebra Education with GeoGebra Applets
http://www.maa.org/programs/faculty-and-departments/course-communities/transforming-linear-algebra-education-with-geogebra-applets