Problem 42988. Linear system of equations

Created by Abhishek Jain
Appears in Linear Algebra

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Solve the system of equations in three variables.

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Last Solution submitted on May 09, 2025

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John D'Errico on 2 Oct 2016

The tests cases used an exact test for equality. In terms of floating point numbers, this is incorrect as a test, because it can fail to recognize entirely valid solutions, and there are many ways to validly solve this problem. As such, I modified the test cases to use a tolerance on the result.

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Linear Algebra

15 Problems
54 Finishers

Column norms of a matrix
linear least squares fitting
System of equations
Linear system of equations
Solve the set of simultaneous linear equations
Combined Ages 1 - Symmetric, n = 3
Combined Ages 2 - Symmetric, n ≥ 3
Combined Ages 3 - Non-symmetric, n ≥ 3
Combined Ages 4 - Non-symmetric with multiples, n ≥ 3
Outer product of multiple vectors
Determine if input is a valid AHP evaluation matrix
Is this matrix orthogonal?
Orthonormal matrix
Nilpotent matrix
Projector Matrix

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