Inner Product Spaces
http://www.maa.org/taxonomy/term/41375/0
enDoes the Generalized Inverse of \(A\) Commute with \(A\)?
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/does-the-generalized-inverse-of-a-commute-with-a
<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>Not all square matrices commute with their generalized inverse (Moore-Penrose inverse). The author gathers equivalent conditions for the generalized inverse of a matrix to commute with the matrix itself. Then he shows that, in this case, the generalized inverse may be represented as a polynomial in the given matrix.</em></p>
</div></div></div>Projections in real inner product spaces
http://www.maa.org/programs/faculty-and-departments/course-communities/projections-in-real-inner-product-spaces
The Gram-Schmidt Algorithm
http://www.maa.org/programs/faculty-and-departments/course-communities/the-gram-schmidt-algorithm
Curve fitting project
http://www.maa.org/programs/faculty-and-departments/course-communities/curve-fitting-project
Gram-Schmidt Process in Three Dimensions
http://www.maa.org/programs/faculty-and-departments/course-communities/gram-schmidt-process-in-three-dimensions
Gram-Schmidt Process in Two Dimensions
http://www.maa.org/programs/faculty-and-departments/course-communities/gram-schmidt-process-in-two-dimensions
Dot Product Applet
http://www.maa.org/programs/faculty-and-departments/course-communities/dot-product-applet
Terence Tao's Applets
http://www.maa.org/programs/faculty-and-departments/course-communities/terence-taos-applets
An Elementary Treatment of General Inner Products
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/an-elementary-treatment-of-general-inner-products
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>A typical first course on linear algebra is usually restricted to vector spaces over the real numbers and the usual positive-definite inner product. Hence, the proof that \(\dim(\mathcal{S}) + \dim(\mathcal{S^\perp}) = \dim(\mathcal{V})\) is not presented in a way that generalizes to non-positive-definite inner products or to vector spaces over other fields. In this note the author gives such a proof.</p>
</div></div></div>Classroom Capsules and Notes for The link below takes you to the list of capsules in the subcategory Inner Product Spaces in Linear Algebra
http://www.maa.org/programs/faculty-and-departments/course-communities/classroom-capsules-and-notes-for-the-link-below-takes-you-to-the-list-of-capsules-in-the-subcategory
Classroom Capsules and Notes for Orthogonality and Projections in Linear Algebra
http://www.maa.org/programs/faculty-and-departments/course-communities/classroom-capsules-and-notes-for-orthogonality-and-projections-in-linear-algebra