List questions from gaussian-elimination

Published on 22 Mar 2026 - 5:42

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Show $A$ has an $LU$ factorization if and only if for each $k$ with $ 1 \leq k \leq m$, the upper left block $A(1:k,1:k)$ is nonsingular.

Published on 11 Jun 2018 - 19:09

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Complexity of matrix multiplication and Gaussian elimination

Published on 22 Mar 2026 - 6:39

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Cost of LU decomposition (time cost)

Published on 22 Mar 2026 - 8:58

155

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Can someone explain me this Gaussian Method

Published on 26 Jun 2018 - 19:48

119

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Use the Gauss elimination method in order to find $u$ in $\mathbb{R}^2$ such that $T(u)=\left(\begin{matrix} 3 & 1& 4 \end{matrix}\right)^T$

Published on 29 Jun 2018 - 3:18

223

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How do you set up an augmented matrix to solve for a Transformation matrix?

Published on 29 Jun 2018 - 16:44

88

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Finding the determinant of a $4\times4$ matrix using row reduction.

Published on 08 Jul 2018 - 5:54

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Is there a way to know if a row reduction of a matrix has been done correctly?

Published on 15 Jul 2018 - 8:05

3.9k

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Matrix as a product of elementary matrices?

Published on 22 Mar 2026 - 6:06

139

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Proof that 0 in last pivot position of matrix via gaussian elimination means there are infinite solutions

Published on 09 Aug 2018 - 3:42

1.5k

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Why does $L$ have to be lower triangular in the LU factorization?

Published on 09 Aug 2018 - 11:45

84

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Can we derive an equation by a sequence of Gaussian reduction steps from the equations in the system?

Published on 11 Aug 2018 - 19:23

286

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Finding the rank of matrix that has a parameter

Published on 22 Mar 2026 - 16:17

231

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Algorithm for Finding a Conic Combination Giving the Zero Vector

Published on 23 Aug 2018 - 20:53

List Question

Are these row operations correct?

Show $A$ has an $LU$ factorization if and only if for each $k$ with $ 1 \leq k \leq m$, the upper left block $A(1:k,1:k)$ is nonsingular.

Complexity of matrix multiplication and Gaussian elimination

Cost of LU decomposition (time cost)

Can someone explain me this Gaussian Method

Use the Gauss elimination method in order to find $u$ in $\mathbb{R}^2$ such that $T(u)=\left(\begin{matrix} 3 & 1& 4 \end{matrix}\right)^T$

How do you set up an augmented matrix to solve for a Transformation matrix?

Finding the determinant of a $4\times4$ matrix using row reduction.

Is there a way to know if a row reduction of a matrix has been done correctly?

Matrix as a product of elementary matrices?

Proof that 0 in last pivot position of matrix via gaussian elimination means there are infinite solutions

Why does $L$ have to be lower triangular in the LU factorization?

Can we derive an equation by a sequence of Gaussian reduction steps from the equations in the system?

Finding the rank of matrix that has a parameter

Algorithm for Finding a Conic Combination Giving the Zero Vector

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