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These linear algebra lecture notes are designed to be presented as twenty ve, fty minute lectures suitable for sophomores likely to use the material for applications but still requiring a solid foundation in this fundamental branch.
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Assignment: expressions handout Tuesday- We will take a short quiz on dimensional analysis and expressions. Then, we will begin to write and solve equations. Assignment: pages 62-64 (1-19) Wednesday- We will begin to solve literal equations. Practice: textbook page 70-71 (1-19) Assignment: literal equations worksheet and study guide.
COURSE LAYOUT Week 1: Matrices and Matrix operations, REF Week 2: Linear systems, Gauss Elimination and Inverse of a matrix Week 3: Rn; subspaces, linear independence, rank of a matrix Week 4: Determinants, rank, inveribility Week 5: Linear transformations,rank-nullity Week 6: Inner product spaces, Gram-Schmidt process Week 7: Eigenvalues and Eigenvectors.
Linear algebra- Linear algebra is the learning of sets of linear equations and their transformations properties. This stream supports the examination of rotations in space, a solution of linked differential equations, least squares fitting, measurement of a circle passing through assigned points, as well as various analytical difficulties in applied physics, engineering and mathematics. If you.