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Decompose invertible matrix $A$ as $A = LPU$. (Artin, Chapter 2, Exercise M.11)
linear-algebra
matrices
numerical-linear-algebra
gaussian-elimination
lu-decomposition
Solving systems of linear equations over a finite ring
linear-algebra
number-theory
finite-rings
gaussian-elimination
The essence of Gaussian elimination
linear-algebra
gaussian-elimination
Is there a way to know if a row reduction of a matrix has been done correctly?
linear-algebra
matrices
reference-request
soft-question
gaussian-elimination
Time complexity of LU decomposition
linear-algebra
asymptotics
numerical-linear-algebra
matrix-decomposition
gaussian-elimination
What is an intuitive explanation to why elimination retains solution to the original system of equations?
linear-algebra
intuition
gaussian-elimination
How do I show that a matrix is injective?
linear-algebra
matrices
gaussian-elimination
LU decomposition; do permutation matrices commute?
linear-algebra
matrices
matrix-decomposition
gaussian-elimination
permutation-matrices
Why does the Gaussian-Jordan elimination works when finding the inverse matrix?
linear-algebra
matrices
inverse
gaussian-elimination
Why use Gauss Jordan Elimination instead of Gaussian Elimination, Differences
linear-algebra
matrix-equations
gaussian-elimination
how to find null space basis directly by matrix calculation
linear-algebra
matrices
reference-request
gaussian-elimination
Can you use row and column operations interchangeably?
linear-algebra
matrices
gaussian-elimination
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