Rank-One Square Matrices: A Diagonalization Criterion
DOI:
https://doi.org/10.34179/revisem.v10i2.22067Abstract
In this work, we present two approaches to demonstrate the known result that square matrices of order greater than or equal to 2 with rank 1 are diagonalizable if and only if the sum of the main diagonal (trace) is non-zero. The first approach uses the criterion of the minimal polynomial, and the second approach uses the fact that hyperplanes in Rn are n-1-dimensional.
Keywords: Rank-1 matrices, Diagonalization, Minimal polynomial criterion.
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Copyright (c) 2025 Marcos Travaglia, Francisco Ferreira do Nascimento Junior
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