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Eigenvalues & Eigenvectorshard
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Let A=(1102)A = \begin{pmatrix} 1 & 1 \\ 0 & 2 \end{pmatrix}A=(10​12​) and B=(3004)B = \begin{pmatrix} 3 & 0 \\ 0 & 4 \end{pmatrix}B=(30​04​). The Kronecker sum is defined as A⊕B=A⊗I2+I2⊗BA \oplus B = A \otimes I_2 + I_2 \otimes BA⊕B=A⊗I2​+I2​⊗B. What are the eigenvalues of A⊕BA \oplus BA⊕B?