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Linear Algebra: Elementary Row Operations

  1. Apr 22, 2007 #1
    Elementary Matrices: Let A be a mxn matrix. Write down mxm matrices Ers, Dr([tex] \lambda [/tex]) and Trs([tex] \mu [/tex])

    Ers Swaps rows r and s,

    Dr([tex] \lambda [/tex]) multiplies row r by [tex] \lambda [/tex]

    Trs([tex] \mu [/tex]) adds [tex] \mu [/tex] times row s to row r

    compute the determinant of the three matrices you found




    I dont have trouble with the determinant part of this problem. i am however stuck finding Ers and Trs. i also am not sure if my soltion for Dr (lambda) is correct. i got the following (assuming row r is the top row and mxm=3x3)

    Ok latex doesnt like me so the matrix looks like this

    [ Lambda , 0 , 0
    0 1 0
    0 0 1]


    PS im not proficient in latex at all so this might not work
     
    Last edited: Apr 22, 2007
  2. jcsd
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