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Math Help - quadratic forms of symmetric matrices...

  1. #1
    Junior Member
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    quadratic forms of symmetric matrices...

    hi i just wanted a quick explanation of what a symmetric matrix is and what they mean by the quadratic form by the standard basis?

    (1)
    for example why is this a symmetric matrix

    [1 3]
    [3 2]

    and what is the quadratic form of the matrix by the standard basis?

    (2)
    also how would i go about figuring out the quadratic form corresponding to the matrix by the standard basis for
    [ 0 1 1]
    [ 1 3 5]
    [ 1 5 0]
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  2. #2
    MHF Contributor
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    Haven't you a definition of "symmetric"? A\;=\;A^{t}
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