List questions from gaussian-elimination

Published on 15 Apr 2026 - 18:03

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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 16 Apr 2026 - 6:02

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Complexity of matrix multiplication and Gaussian elimination

Published on 25 Mar 2026 - 7:43

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Cost of LU decomposition (time cost)

Published on 07 May 2026 - 14:14

158

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Can someone explain me this Gaussian Method

Published on 12 Apr 2026 - 3:30

122

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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 16 Apr 2026 - 3:45

226

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

Published on 09 Apr 2026 - 19:32

91

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

Published on 13 Apr 2026 - 16:04

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

Published on 12 Apr 2026 - 19:33

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Matrix as a product of elementary matrices?

Published on 16 Apr 2026 - 17:02

142

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

Published on 10 Apr 2026 - 17:37

1.5k

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

Published on 13 Apr 2026 - 14:08

87

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

Published on 13 Apr 2026 - 4:16

289

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Finding the rank of matrix that has a parameter

Published on 14 Apr 2026 - 12:19

234

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Algorithm for Finding a Conic Combination Giving the Zero Vector

Published on 11 Apr 2026 - 8:36

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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