線性代數›Ch5 特徵值與對角化
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25. Matrix Polynomial、Idempotent Matrix
#LA-05-025中Matrix PolynomialIdempotent Matrix

Assume p(x)=x10−x5+1p(x) = x^{10} - x^5 + 1 and A=[−2−613]A = \begin{bmatrix} -2 & -6 \\ 1 & 3 \end{bmatrix}. Let p(A)=[abcd]p(A) = \begin{bmatrix} a & b \\ c & d \end{bmatrix}. What is ⌊∣a+b+c+d∣⌋%5\lfloor |a+b+c+d| \rfloor \% 5? (% is the modulo operation. ⌊z⌋\lfloor z \rfloor rounds zz to the smaller nearest integer.)

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