# Assign solution set to a matrix

**URL:** <https://discourse.julialang.org/t/assign-solution-set-to-a-matrix/116600>\
**Category:** General Usage\
**Tags:** question\
**Created:** [July 3, 2024, 5:13pm UTC](https://discourse.julialang.org/t/assign-solution-set-to-a-matrix/116600 "2024-07-03T17:13:57Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![Iverson\_Wang](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/iverson_wang/32/210438_2.png) [@Iverson\_Wang](https://discourse.julialang.org/u/Iverson_Wang)\
**Post date:** [July 3, 2024, 5:13pm UTC](https://discourse.julialang.org/t/assign-solution-set-to-a-matrix/116600/1 "2024-07-03T17:13:57Z")

</div>

Here is the set of equations that I get the solutions:  
using HomotopyContinuation

```julia
@var a2 a3 b2 b3

s3=1 + a2^3 + a3^3

s2t= 3(a2^2)*b2 + 3(a3^2)*b3

st2= 3a2*(b2^2) + 3a3*(b3^2)

t3=1 + b2^3 + b3^3

f=System([s3,s2t,st2,t3])

result = solve(f)

```

The first question is that after getting the solution set, how do I put the solutions in the matrix of the form `A=[1 0 a2 a3; 0 1 b2 b3]` and do RREF.

The second question is the solutions in HomotopyContinuation are quite tricky that they don’t print zero instead a very small number. How do I round up the small number to zero?

Thank you!