Comments on: Nilpotent Matrix and Eigenvalues of the Matrix https://yutsumura.com/nilpotent-matrix-and-eigenvalues-of-the-matrix/ Wed, 09 Aug 2017 21:28:23 +0000 hourly 1 https://wordpress.org/?v=5.3.4 By: Every Diagonalizable Nilpotent Matrix is the Zero Matrix – Problems in Mathematics https://yutsumura.com/nilpotent-matrix-and-eigenvalues-of-the-matrix/#comment-1752 Mon, 10 Jul 2017 07:16:18 +0000 https://yutsumura.com/?p=98#comment-1752 […] the post ↴ Nilpotent Matrix and Eigenvalues of the Matrix for a proof of this […]

]]> By: Normal nilpotent matrix is zero matrix – Problems in Mathematics https://yutsumura.com/nilpotent-matrix-and-eigenvalues-of-the-matrix/#comment-862 Wed, 15 Mar 2017 06:11:51 +0000 https://yutsumura.com/?p=98#comment-862 […] $A$ is nilpotent, all the eigenvalues of $A$ are $0$. (See the post “Nilpotent matrix and eigenvalues of the matrix” for the proof.) Hence the diagonal entries of $D$ are zero, and we have $D=O$, the zero […]

]]> By: If every trace of a power of a matrix is zero, then the matrix is nilpotent – Problems in Mathematics https://yutsumura.com/nilpotent-matrix-and-eigenvalues-of-the-matrix/#comment-5 Tue, 26 Jul 2016 22:10:08 +0000 https://yutsumura.com/?p=98#comment-5 […] We want to show that all eigenvalues are zero. (Review Nilpotent matrix and eigenvalues of the matrix) […]

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