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Recent questions tagged lu-decomposition

45 45 votes
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GATE CSE 2025 | Set 2 | Question: 34
Consider a system of linear equations $P X=Q$ where $P \in \mathbb{R}^{3 \times 3}$ and $\mathrm{Q} \in \mathbb{R}^{3 \times 1}$. Suppose $P$ has an LU decomposition, $P=...
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Resources: LU Decomposition
what are some good resources to learn about LU decomposition ?
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GATE CSE 2022 | Question: 35
Consider solving the following system of simultaneous equations using $\text{LU}$ decomposition.$$x_{1} + x_{2} – 2x_{3} = 4$$$$x_{1} + 3x_{2} – x_{3} = 7$$$$2x_{1} + x_{...
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Doubt on syllabus
Is LU decomposition in course for GATE 2019?
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LU decomposition
In the LU decomposition of the matrix,$\begin{bmatrix} 1 &2 \\ 3 &8 \end{bmatrix}$ if the diagonal elements of $U$ are both $1$, then the trace of $L$ is$?$
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GEEK_MOCK_QUETION_30
$\begin{pmatrix}4&3 \\6&3 \end{pmatrix}$What is the sum of all the elements of the $L$ and $U$ matrices as obtained in the L U decomposition?$16$$10$$9$$6$
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51 51 votes
8 answers 8 answers
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GATE CSE 2015 | Set 1 | Question: 1‏8
In the LU decomposition of the matrix $\begin{bmatrix}2 & 2 \\ 4 & 9\end{bmatrix}$, if the diagonal elements of $U$ are both $1$, then the lower diagonal entry $l_{22}$ o...
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