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Math Help - rank of matrix

  1. #1
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    rank of matrix

    hi
    can anyone tell me if at all there is any way in which rank of a matrix can be equal to 0?? and if P(A)!=P(adjA)..???
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  2. #2
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    Re: rank of matrix

    The rank of a matrix (or, more generally, linear transformation) is the dimension of its image. As long as the matrix A is non-zero (has any non-zero components), it will map some non-zero vector to a non-zero vector and any multiple of that is in its image so the image has dimension at least 1. The only matrix with rank 0 is the zero matrix. Whether the matrix is symmetric or not is irrelevant.
    Last edited by HallsofIvy; September 11th 2012 at 06:38 AM.
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  3. #3
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    Re: rank of matrix

    thank you so much ...
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