Matriceshard
0:00.0

For the matrix A=(60.20.10.340.20.20.12)A = \begin{pmatrix} 6 & 0.2 & 0.1 \\ 0.3 & 4 & 0.2 \\ 0.2 & 0.1 & 2 \end{pmatrix}, Gershgorin's theorem states all eigenvalues lie in the union of discs zaiiri|z - a_{ii}| \leq r_i where ri=jiaijr_i = \sum_{j \neq i} |a_{ij}|. The discs are: D1:z60.3D_1: |z - 6| \leq 0.3, D2:z40.5D_2: |z - 4| \leq 0.5, D3:z20.3D_3: |z - 2| \leq 0.3. Which statement is FALSE?