[[1,0,0],[0,1,a],[0,-a,1]].[[1,a,0],[-a,1,0],[0,0,1]] - [[1,a,0],[-a,1,0],[0,0,1]].[[1,0,0],[0,1,a],[0,-a,1]] - Wolfram|Alpha
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Input:

    EnlargeEnable InteractivityDownload as CDF
    Save as image »Copyable plaintext »Mathematica form »

    Result:

    EnlargeEnable InteractivityDownload as CDF

    Dimensions:

    EnlargeEnable InteractivityDownload as CDF

    Determinant:

    EnlargeEnable InteractivityDownload as CDF

    Trace:

    EnlargeEnable InteractivityDownload as CDF

    Characteristic polynomial:

    link to /input/?i=-a%5E4+x-x%5E3&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

    Diagonalization:

    link to /input/?i=%7B%7B0%2C+0%2C+-a%5E2%7D%2C+%7B0%2C+0%2C+0%7D%2C+%7Ba%5E2%2C+0%2C+0%7D%7D&lk=1&a=ClashPrefs_*Math-link to /input/?i=%7B%7B0%2C+-i%2C+i%7D%2C+%7B1%2C+0%2C+0%7D%2C+%7B0%2C+1%2C+1%7D%7D&lk=1&a=ClashPrefs_*Math-link to /input/?i=%7B%7B0%2C+0%2C+0%7D%2C+%7B0%2C+-i+a%5E2%2C+0%7D%2C+%7B0%2C+0%2C+i+a%5E2%7D%7D&lk=1&a=ClashPrefs_*Math-link to /input/?i=%7B%7B0%2C+1%2C+0%7D%2C+%7Bi%2F2%2C+0%2C+1%2F2%7D%2C+%7B-i%2F2%2C+0%2C+1%2F2%7D%7D&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

    Matrix rank:

    EnlargeEnable InteractivityDownload as CDF

    Download full output as:

    CDF  PDF
    To open this file you need the FREE Wolfram CDF Player or Mathematica 8
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