# Converting linear equation into matrix form?

**URL:** <https://community.wolfram.com/t/converting-linear-equation-into-matrix-form/8666>\
**Category:** Questions\
**Tags:** equation-solving, symbolic-computations\
**Created:** [May 31, 2016, 12:01pm UTC](https://community.wolfram.com/t/converting-linear-equation-into-matrix-form/8666 "2016-05-31T12:01:34Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![rajnitdgp2007](https://avatars.discourse-cdn.com/v4/letter/r/73ab20/32.png) [@rajnitdgp2007](https://community.wolfram.com/u/rajnitdgp2007)\
**Post date:** [May 31, 2016, 12:01pm UTC](https://community.wolfram.com/t/converting-linear-equation-into-matrix-form/8666/1 "2016-05-31T12:01:34Z")

</div>

CoefficientArrays[{a+b+c+d+e+f==0,2a+4b+5c+6d+7e+8f==0}, {a, b}, {c,d}, {e,f}]

hi i want to convert these into matrix equation like

```
{{1,1},{2,4}}{a,b}+{{1,1},{5,6}}{c,d}+{{1,1},{7,8}}{e,f}

```

can anybody help please

---

<div class="post-metadata">

**Author:** ![gianlucagorni](https://avatars.discourse-cdn.com/v4/letter/g/ec9cab/32.png) [@gianlucagorni](https://community.wolfram.com/u/gianlucagorni)\
**Post date:** [May 31, 2016, 12:33pm UTC](https://community.wolfram.com/t/converting-linear-equation-into-matrix-form/8666/2 "2016-05-31T12:33:59Z")

</div>

One way is this:

```
pl = {a + b + c + d + e + f, 2 a + 4 b + 5 c + 6 d + 7 e + 8 f};
abMatrix = Normal@Last@CoefficientArrays[pl, {a, b}]
cdMatrix = Normal@Last@CoefficientArrays[pl, {c, d}]
efMatrix = Normal@Last@CoefficientArrays[pl, {e, f}]
abMatrix.{a, b} + cdMatrix.{c, d} + efMatrix.{e, f} == pl

```