List questions from linear-diophantine-equations

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Largest integer that can't be represented as a non-negative linear combination of $m, n = mn - m - n$? Why?

Published on 23 Sep 2011 - 14:31

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Linear diophantine equation $100x - 23y = -19$

Published on 27 Sep 2011 - 17:11

6.6k

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Solving the whole number equation $2x+5y=90$

Published on 22 May 2012 - 7:27

1.5k

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Find all integer solutions to $7595x + 1023y=124$

Published on 14 Aug 2012 - 14:28

193

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Compute the sum of all $n$ for which the equation $2x+3y=n$ has exactly $2011$ non-negative $(x,y ≥ 0)$ integer solutions.

Published on 07 Aug 2020 - 19:01

1.3k

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How many of each kind of fruit was bought?

Published on 02 Sep 2020 - 19:45

368

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Is there a way to solve for a reverse matrix dot product?

Published on 07 Sep 2020 - 2:50

365

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Diophantine Equation Proof: solutions of $ax + by = dm$

Published on 08 Sep 2020 - 5:01

123

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Question about linear Diophantine equations

Published on 17 Oct 2020 - 13:49

83

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Solutions to $\sum_{i=1}^n a_i x_i = 0$ with $\gcd(a_1,\dots,a_n)=1$

Published on 21 Oct 2020 - 5:11

273

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one equation three unknowns

Published on 21 Oct 2020 - 12:14

287

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Number of non-negative integer solutions of linear Diophantine equation

Published on 03 Nov 2020 - 17:50

257

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Prove the existence of a minimal non-negative solution to a linear Diophantine equation

Published on 12 Nov 2020 - 16:47

35

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Linear Diophantine eq. in three variables

Published on 13 Nov 2020 - 12:02

143

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How to use matrix language to describe the solution process?

Published on 15 Nov 2020 - 9:23

List Question

Largest integer that can't be represented as a non-negative linear combination of $m, n = mn - m - n$? Why?

Linear diophantine equation $100x - 23y = -19$

Solving the whole number equation $2x+5y=90$

Find all integer solutions to $7595x + 1023y=124$

Compute the sum of all $n$ for which the equation $2x+3y=n$ has exactly $2011$ non-negative $(x,y ≥ 0)$ integer solutions.

How many of each kind of fruit was bought?

Is there a way to solve for a reverse matrix dot product?

Diophantine Equation Proof: solutions of $ax + by = dm$

Question about linear Diophantine equations

Solutions to $\sum_{i=1}^n a_i x_i = 0$ with $\gcd(a_1,\dots,a_n)=1$

one equation three unknowns

Number of non-negative integer solutions of linear Diophantine equation

Prove the existence of a minimal non-negative solution to a linear Diophantine equation

Linear Diophantine eq. in three variables

How to use matrix language to describe the solution process?

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