Linear Algebra MathRoom

Click a Link -- Get a Lesson

Use Edit, Find (on this page) to search for topics (ex: matrices, projections)

Note: these lessons are best viewed with Internet Explorer,
with Text Size (on the View menu) set at Larger.

 Linear Algebra Lessons logID file name topics covered MATRICES, MATRIX OPERATIONS lnalg1 row reducing, elimination Gaussian elimination, solving systems with row-reduction lnalg1.2 homogeneous systems solving systems with all constants = 0 lnalg1.2a matrices: operations & properties operations on matrices, matrix multiplication lnalg1.3 elementary, identity, inverse matrices inverse, elementary & identity matrices lnalg1.4 determinants, Cramer's rule determinant properties, theorems, Cramer's rule lnalg1.5 Inverse Matrix with Cofactors Finding A-1 with cofactor expansion. VECTORS lnalg2.0 vectors in the Cartesian Plane first lesson on vectors, angles, direction lnalg2 all about vectors vectors, dot & cross product, norm, geometry lnalg2.1 orthogonal projections decomposing vectors to orthogonal components lnalg3 lines and planes in 3-space, equations of lines & planes in R³ lnalg3.1 spheres and tangent planes equations of spheres and tangent planes in R³. VECTOR SPACES: BASIS & DIMENSION lnalg4.0 Vector Spaces, Subspaces defining axioms for vector spaces, subspaces. lnalg4 finding a nullspace basis finding basis for the nullspace of a matrix A. lnalg4.1 spanning, linear independence, basis definitions, theorems on vector spaces lnalg4.2 row & column space of a matrix finding bases for row and column spaces of matrix A. lnalg4.3 mini-series theorem Exercises & Assignments logID file name questions on vectrsexer vectors exercise dot, cross product, norm, orthogonality, projections elemtrxexer elementary matrices exercise elementary matrices, finding inverse matrix elemex-2 elementary matrices exercise describing the row operation of an elementary matrix. lnalgxr1 assignment # 1 matrix arithmetic, solving systems with elimination lnalxr2 assignment # 2 Solving Systems, Cramer's Rule lnalgxr3 assignment # 3 vectors, lines and planes in R³ lnalgxr3sl solutions assignment # 3 solutions for assignment 3 lnalgxr4 assignment # 4 vectors spaces, sub-spaces, linear combinations lnalgxr5 assignment # 5 basis, linear independence, spanning Tests & Exams lnalgtst1 Test # 1 homogeneous systems, elementary matrices, inverse lnalgtst1sl Test # 1 solutions solutions for questions in test #1 lnalgtst2 Test # 2 vectors, determinants, inverses, lines & planes lnalgtst2sl Test # 2 solutions solutions for questions in test #2 lnalgtst3 Test # 3 vector spaces, row, column and solution spaces lnalgtst3sl Test # 3 solutions solutions for questions in test #3 lnalgfnl Final Exam on entire course matrices, systems, vectors, vector spaces etc. lnalgfnlsl Solutions for Final Exam solutions for questions on entire course

.

(all content of the MathRoom Lessons © Tammy the Tutor; 2002 - 2005)