Linear Algebra

The folder named Bank contains an assorted collection of questions in linear algebra. All questions have answers, some may have hints and solutions. The syllabus for this topic is given below:

• Vector spaces
  • Vector spaces
  • Subspaces
  • Linear dependence and independence
• Matrices and their properties
  • Matrices
  • Determinant
  • Rank
  • Nullity
• Special matrices and their properties
  • Projection matrix
  • Orthogonal matrix
  • Idempotent matrix
  • Partition matrix
• Projections
• Systems of linear equations
  • Gaussian elimination
  • LU decomposition
• Eigenvalues and eigenvectors
• Quadratic forms
• Singular value decomposition