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Good choice of books for my linear algebra syllabus

  1. Jan 17, 2012 #1
    Good choice of books for my linear algebra syllabus



    Hello guys, I am looking for some good books for linear algebra.
    I have got Linear algebra by, David Lay and Anton .
    However I am studying Linear algebra in another language than English
    and our syllabus is a bit different from many English speaking countries.
    I feel like I want a more thorough and more detailed theory on the following subjects

    Especially when it comes to lines and planes in space.

    I have heard that goodaire is a good book too, but perhaps you guys can give me some good suggestions for books which suit respective subject
    I would like to have a suggestion for good books which suit my syllabus

    1. Linear Equation systems
    2. Matrices
    3. Transpose, Matrix Inverses
    4. Vectors, Basis, and coordinates
    5. Linear combination of vectors, Linear independent vectors. Change of Basis
    6. Scalar products, Orthonormal basis
    7. Areas, vektor products,volumes and determinants
    8. Lines and Plane in Space
    9. Linear imaging/depictions. It's definition and properties
    10. Compostions / Combinations and Inverses.
    Kernel (linear operator) and Range
    11.Matrix productions in different basis. Isometric Images/depections
    12. Diagonalization of linear images.
     
  2. jcsd
  3. Jan 17, 2012 #2

    sharks

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    Gold Member

    Lay is a good book. Get the latest edition.

    Linear Algebra and Its Applications 4th Edition by Gilbert Strang. Also check his video lectures online available for free.

    And for revision: Schaum's outline of linear algebra.
     
  4. Jan 17, 2012 #3
  5. Jan 17, 2012 #4

    mathwonk

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    Science Advisor
    Homework Helper

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