線性代數›Ch7 內積空間
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22. QR Factorization、Gram-Schmidt
#LA-07-022易QR FactorizationGram-Schmidt
A=[1111−111100230007]A = \begin{bmatrix} 1 & 1 & 1 & 1 \\ -1 & 1 & 1 & 1 \\ 0 & 0 & 2 & 3 \\ 0 & 0 & 0 & 7 \end{bmatrix}

Apply QR factorization on A so that A=QRA = QR, where Q is an orthogonal matrix, and R is an upper triangular matrix. "K" is equal to multiplying all the nonzero elements in R. What is mod(round(∣K∣),5)\text{mod}(\text{round}(|K|), 5), where round(⋅)\text{round}(\cdot) is the rounding function (to the nearest integer), and mod(⋅)\text{mod}(\cdot) is the modulo operator?

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