Lectures in Linear Algebra-B   

 Lecture material:

  1. Determinant [pdf format] 

  2.  Determinant (cont.) [pdf format] 

  2a. Rank of a matrix via minors. Matrix with parameter (over the reals) [pdf format]

  3. Eigenvalues and eigenvectors [pdf format]

  4.  Jordan normal form [pdf format] 

  5. Jordan normal form (cont.) [pdf format]

  6. Bilinear forms [pdf format] 

  7. Bilinear forms (cont.) [pdf format] 

  8. Orthogonal and self-adjoint operators [pdf format]  

  9. Spaces with inner product, real case [PDF format]

 10. Spaces with inner product, complex case [PDF format]

 11. Exponent of an operator [PDF format]