Linear Algebra 2
From this page you can access a collection of materials dealing with some important areas of Linear Algebra. For Maynooth University students, this material is typically covered in parts of Linear Algebra 2 (MT216C and MT212A). For more resources on preliminary topics see Introduction to Linear Algebra. These resources are not a replacement for the material covered in your lectures and assignments, rather you should use them as extra support to aid your understanding of any material you may have difficulties with.
Additional Links
- Notes on 3D Coordinate Space - Distance, Graphs etc. (Paul's Online Notes)
- Notes on Equation of a Line in 3D Space - Intro to Vectors (Paul's Online Notes)
- Notes on the Equation of a Plane (Paul's Online Notes)
- Videos on Dot & Cross Product, Cauchy Schwartz Inequality, Triangle Inequality, Normal Vectors, Normal Vectors from a Plane Equation, Distance Between Planes (Khan Academy)
- Videos on Linear Transformations - Matrix Vector Products, Image of Subsets, Preimage of Sets, Kernel, Sums & Scalar Multiples of Linear Transformations (Khan Academy)
- Videos on Linear Transformation - Scaling, Reflections, Rotations, Projections (Khan Academy)
- Videos on Linear Transformation Compositions (Khan Academy)
- Video on Calculating Angle between Vectors given the Cross Product (Patrick JMT)
- Video on Orthogonal Projections - Vector & Scalar (Patrick JMT)
- Notes on Linear Equations, Matrices, Subspaces, Determinants, Complex Numbers, Eigenvalues & Eigenvectors (NumberTheory.org)
- Video on Powers of a Matrix (MIT)