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Thread: How can i prove that about Det(a1,,an)?

  1. #1
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    How can i prove that about Det(a1,,an)?

    -matrix.png
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  2. #2
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    Re: How can i prove that about Det(a1,,an)?

    Try using Gaussian elimination to transform this matrix to an upper diagonal one. Then read the determinant off as the product of the diagonal elements.
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  3. #3
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    Re: How can i prove that about Det(a1,,an)?

    some hints

    Look at the matrix B=A-xI where I is the n\times n identity matrix

    the characteristic polynomial of B = det(B-xI)

    B is a rank one matrix
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