線性代數›Ch8 算子理論與二次型
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17. Unitary Diagonalization、Hermitian Matrix
#LA-08-017中Unitary DiagonalizationHermitian Matrix

Let A=[21−i1+i1]A = \begin{bmatrix} 2 & 1-i \\ 1+i & 1 \end{bmatrix} and the unitary matrix that diagonalizes AA be U=13[a+ibc+ide+ifg+ih]U = \frac{1}{\sqrt{3}} \begin{bmatrix} a+ib & c+id \\ e+if & g+ih \end{bmatrix}, what is the ⌊∣a+c+e+g∣⌋%5\lfloor |a+c+e+g| \rfloor \% 5? (% is the modulo operation. ⌊z⌋\lfloor z \rfloor rounds zz to the smaller nearest integer.)

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