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Matriceshard
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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}A=​60.30.2​0.240.1​0.10.22​​, Gershgorin's theorem states all eigenvalues lie in the union of discs ∣z−aii∣≤ri|z - a_{ii}| \leq r_i∣z−aii​∣≤ri​ where ri=∑j≠i∣aij∣r_i = \sum_{j \neq i} |a_{ij}|ri​=∑j=i​∣aij​∣. The discs are: D1:∣z−6∣≤0.3D_1: |z - 6| \leq 0.3D1​:∣z−6∣≤0.3, D2:∣z−4∣≤0.5D_2: |z - 4| \leq 0.5D2​:∣z−4∣≤0.5, D3:∣z−2∣≤0.3D_3: |z - 2| \leq 0.3D3​:∣z−2∣≤0.3. Which statement is FALSE?