Linear algebra #2: spaces, systems of equations, determinant, inverse

Mike X Cohen, Neuroscientist, teacher, writer

Play Speed
  • 0.5x
  • 1x (Normal)
  • 1.25x
  • 1.5x
  • 2x
28 Videos (4h 19m)
    • Column space of a matrix

      15:21
    • Row space of a matrix

      4:31
    • Null space and left null space of a matrix

      13:20
    • Column/left-null and row/null spaces are orthogonal

      6:59
    • Dimensions of column/row/null spaces

      5:57
    • Example of the four subspaces

      10:00
    • More on Ax=b and Ax=0

      7:08
    • Systems of equations: algebra and geometry

      14:32
    • Converting systems of equations to matrix equations

      5:37
    • Gaussian elimination

      12:06
    • Echelon form and pivots

      7:14
    • Reduced row echelon form

      12:57
    • Code challenge: RREF of matrices with different sizes and ranks

      8:40
    • Matrix spaces after row reduction

      7:44
    • Determinant: concept and applications

      6:30
    • Code challenge: determinant of small and large singular matrices

      6:31
    • Determinant of a 2x2 matrix

      7:03
    • Determinant of a 3x3 matrix

      10:52
    • Code challenge: determinant of shifted matrices

      12:15
    • Find matrix values for a given determinant

      4:57
    • Matrix inverse: Concept and applications

      11:31
    • Inverse of a 2x2 matrix

      5:36
    • The MCA algorithm to compute the inverse

      11:04
    • Computing the inverse via row reduction

      16:52
    • Code challenge: inverse of a diagonal matrix

      9:09
    • Left inverse and right inverse

      13:50
    • Proof: the inverse is unique

      3:00
    • Pseudo-inverse, part 1

      7:58

About This Class

This class follows from Linear algebra #1.

--

Students

--

Projects

0

Reviews (0)

Mike X Cohen

Neuroscientist, teacher, writer

Officially I'm Dr. Michael X Cohen, but I prefer just "Mike" or "Mike X" or "the mysterious X." I'm a scientist because I believe that discovery and the drive to understand mysteries are among the most important drivers of progress in human civilization. And I believe in teaching because, well, because I really like teaching. I've been doing it my whole life. I teach "real-life" courses, online courses, university courses. I've written several books about neuroscience and data analysis, which...

See full profile