Matricesmedium
0:00.0

Gershgorin's circle theorem states that every eigenvalue λ\lambda of matrix AA lies in at least one Gershgorin disc centered at diagonal entry aiia_{ii} with radius ri=jiaijr_i = \sum_{j \neq i} |a_{ij}|. For the matrix A=(20.20.35)A = \begin{pmatrix} 2 & 0.2 \\ 0.3 & 5 \end{pmatrix}, the discs are centered at 2 and 5 with radii 0.2 and 0.3 respectively. Which statement is necessarily true?