Question

Decompose invertible matrix $A$ as $A = LPU$. (Artin, Chapter 2, Exercise M.11)

score 2.5k · Answer 1 · 2026-03-25 14:04:32

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Decompose invertible matrix $A$ as $A = LPU$. (Artin, Chapter 2, Exercise M.11)

Published on 25 Mar 2026 - 14:04

score 33.1k · Answer 2 · 2013-03-03 18:23:14

33.1k

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How do I show that a matrix is injective?

Published on 03 Mar 2013 - 18:23

score 320 · Answer 3 · 2020-08-01 14:38:51

320

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How do I solve the following system of equations by using the Gauss-Jordan method?

Published on 01 Aug 2020 - 14:38

score 261 · Answer 4 · 2020-08-02 20:00:53

261

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How do you decide which rows to swap for a matrix while doing gaussian elimination?

Published on 02 Aug 2020 - 20:00

score 48 · Answer 5 · 2020-08-05 15:32:26

48

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Cannot solve linear system of equations

Published on 05 Aug 2020 - 15:32

score 158 · Answer 6 · 2020-08-08 18:12:34

158

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Can Gaussian elimination fail finding null space?

Published on 08 Aug 2020 - 18:12

score 78 · Answer 7 · 2020-08-08 20:52:58

78

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Can Gaussian elimination find a zero vector when $m < n$?

Published on 08 Aug 2020 - 20:52

score 42 · Answer 8 · 2020-08-14 09:10:34

42

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Solving modular matrix equations via Gaussian elimination or System of linear equations (SIS assumption?)

Published on 14 Aug 2020 - 9:10

score 199 · Answer 9 · 2026-03-27 07:14:24

199

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In the LU decomposition with pivoting proof $L = PM^{-1}$ is unit lower triangular

Published on 27 Mar 2026 - 7:14

score 257 · Answer 10 · 2020-08-27 18:54:06

257

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What is the fastest way of calculating whether vectors are linearly independent?

Published on 27 Aug 2020 - 18:54

score 511 · Answer 11 · 2020-09-08 20:59:45

511

Views

Gaussian Elimination - Conceptual meaning of a row of zeros

Published on 08 Sep 2020 - 20:59

score 20 · Answer 12 · 2020-09-09 03:52:42

20

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After solving a matrix using Gauss-Jordan Reduction, there's a row of zeroes. How do I write the final answer?

Published on 09 Sep 2020 - 3:52

score 84 · Answer 13 · 2020-09-09 12:00:24

84

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Determine the number of solutions as $a$ and $b$ change.

Published on 09 Sep 2020 - 12:00

score 399 · Answer 14 · 2020-09-20 16:06:41

399

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Find the value of c for the system to have

Published on 20 Sep 2020 - 16:06

score 22 · Answer 15 · 2020-09-23 23:31:43

22

Views

Is elimination of x giving me a new answer of the textbook??

Published on 23 Sep 2020 - 23:31

List Question

Decompose invertible matrix $A$ as $A = LPU$. (Artin, Chapter 2, Exercise M.11)

How do I show that a matrix is injective?

How do I solve the following system of equations by using the Gauss-Jordan method?

How do you decide which rows to swap for a matrix while doing gaussian elimination?

Cannot solve linear system of equations

Can Gaussian elimination fail finding null space?

Can Gaussian elimination find a zero vector when $m < n$?

Solving modular matrix equations via Gaussian elimination or System of linear equations (SIS assumption?)

In the LU decomposition with pivoting proof $L = PM^{-1}$ is unit lower triangular

What is the fastest way of calculating whether vectors are linearly independent?

Gaussian Elimination - Conceptual meaning of a row of zeros

After solving a matrix using Gauss-Jordan Reduction, there's a row of zeroes. How do I write the final answer?

Determine the number of solutions as $a$ and $b$ change.

Find the value of c for the system to have

Is elimination of x giving me a new answer of the textbook??

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