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MATH 1071

Vectors and Matrices

0.5 credits · Undergraduate

Fall 2024

Topics

  • Vectors in R2 and R3, vector addition, scalar multiplication
  • Dot product, projections, cross product
  • Lines and planes, vectors in Rn
  • Matrix addition, scalar multiplication, matrix multiplication
  • Matrix transpose, trace, and determinants
  • Row operations and Gaussian
  • Matrix transformations and linear transformations
  • Eigenvalues

Readings

Fall 2016

Topics

  • Sections 2.2 – 2.3, 3.1 - 3.3 –
  • Sections 4.1 – 4.3 –
  • Sections 1.1 – 1.3 –
  • Sections 5.1 – 5.3 –
  • Section 5.4 –
  • Section 7.1 – 7.3 –
  • Section 8.1 –
  • Review of the course –

Readings

  • Elementary Linear Algebra, First Canadian Edition by Stewart Venit, Wayne Bishop, Jason Brown. Course content: Chapters 1-5, 7, 8 Attending lectures and labs is compulsory, because I am going not only to discuss some theoretical statement, but also teach how to solve problems.
Fall 2013

Topics

  • as Cartesian coordinates
  • vectors in two and three dimensions
  • components of vectors
  • the cross product
  • equations of lines and planes
  • complex
  • numbers
  • vector spaces over the real and complex number systems
  • linear independence
  • bases and spanning sets
  • subspaces
  • matrices
  • matrix multiplication
  • the transpose of a matrix
  • invertible matrices
  • linear equations and row reduction
  • Geometry of R2 and R3, section
  • Euclidean m-space and Linear Equations, section 2.1
  • Matrices, section
  • Determinants, section
  • Independence and Basis in Rm, section
  • to introduce the assigned problems and work short practice problems. Laboratory time

Readings

  • Elementary Linear Algebra (Second Edition) by Stewart Venit, Wayne Bishop and Jason Brown
Sources