線性代數›Ch1 矩陣與線性方程組
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17. LU Decomposition
#LA-01-017易LU Decomposition

Let A=[2421524−19]A = \begin{bmatrix} 2 & 4 & 2 \\ 1 & 5 & 2 \\ 4 & -1 & 9 \end{bmatrix}, and the LULU decomposition of AA be

[100a10bc1][def0gh00i]\begin{bmatrix} 1 & 0 & 0 \\ a & 1 & 0 \\ b & c & 1 \end{bmatrix} \begin{bmatrix} d & e & f \\ 0 & g & h \\ 0 & 0 & i \end{bmatrix}

What is ⌊a+b+c+d+e+f+g+h+i⌋%5\lfloor a+b+c+d+e+f+g+h+i \rfloor \% 5? (% is the modulo operation. ⌊z⌋\lfloor z \rfloor rounds zz to the smaller nearest integer.)

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