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Solving a $3\times3$ system of linear equations.

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#systems-of-equations #substitution
55
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$f=x+\phi(y,z)=y+\psi(x,z)=z+\varphi(x,y)$ so $f(x,y,z)=x+y+z$?

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#functions #systems-of-equations #problem-solving
91
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Linear independent vectors - Span - Basis

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#linear-algebra #vectors #systems-of-equations #hamel-basis
31
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Solve the replacement system

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#proof-verification #systems-of-equations
239
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System of differential equations (particular solution)

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#ordinary-differential-equations #systems-of-equations
57
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Solve this system of equations with three variables

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#systems-of-equations #multivariate-polynomial
49
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Side lengths $a, b, c$ of right triangle satisfy $\frac{b}{c-a}+\frac{a}{c-b}=13/2$. What is $a:b:c$?

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#geometry #systems-of-equations #euclidean-geometry #quadratics
29
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Prove Variable Equality

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#algebra-precalculus #systems-of-equations
720
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Geometric interpretation of homogeneous system of equations

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#linear-algebra #systems-of-equations #analytic-geometry
260
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Non-trivial solutions of linear equation system $Ax=0$ and "transposed" linear equation system $A^t x = 0$

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#linear-algebra #matrices #systems-of-equations #transpose
31
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How to solve this system of equations in functions $f(y)$ and $g(y)$?

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#proof-verification #systems-of-equations
208
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How to find roots of a 4th order polynomial?

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#polynomials #systems-of-equations #roots #quartics
86
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Proving a statement about invertible square matrices

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#matrices #proof-verification #systems-of-equations #inverse
33
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Complexity of computing 1- and 2- dimensional Brouwer fixed point

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#systems-of-equations #computational-complexity #fixed-point-theorems
46
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Reduce the radical

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#systems-of-equations #factoring #nested-radicals

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