For example:
if I have a solution like
[2*r10 + 2*r9, x_2 == r10, x_3 == -2*r9, x_4 == r9]]
how can I transform that in vector V
V= [2*r10 + 2*r9, r10,-2*r9, r9]]]

1 | initial version |

For example:
if I have a solution like
[2*r10 + 2*r9, x_2 == r10, x_3 == -2*r9, x_4 == r9]]
how can I transform that in vector V
V= [2*r10 + 2*r9, r10,-2*r9, r9]]]

For example: you solve a linear system (in sagemath) with infinite solution and you get:

`[2*r10 +`

~~2~~`r9, 2*r9, x_2 == r10, x_3 ==`

~~-2~~r9,-2*r9, x_4 == r9]]~~how~~

*How can I transform that in vector V
V= [2*r10 extract the vector

`V = [2r10 + `~~2~~*r9, r10,-2*r9, r9]]]2r9, r10, -2r9, r9]

Any suggestion to find a dimension of the solution space for system with infinite solutions as above using Sage?

For example: you solve a linear system (in sagemath) with infinite solution and you get:

~~[2*r10 ~~[[x_1==2*r10 + 2*r9, x_2 == r10, x_3 == -2*r9, x_4 == r9]]

How can I extract the vector

```
V = [2r10 + 2r9, r10, -2r9, r9]
```

Any suggestion to find a dimension of the solution space for system with infinite solutions as above using Sage?

For example: ~~you ~~solve a linear system (in sagemath) with ~~infinite solution ~~infinitely many solutions and ~~you ~~get:

~~[[x_1==2*r10 ~~[[x_1 == 2*r10 + 2*r9, x_2 == r10, x_3 == -2*r9, x_4 == r9]]

How can I extract the vector

```
V = [2r10 + 2r9, r10, -2r9, r9]
```

describing these solutions?

Any suggestion to find ~~a ~~the dimension of the solution space
for a system with ~~infinite ~~infinitely many solutions as above using Sage?

For example: solve a linear system (in sagemath) with infinitely many solutions and get:

```
[[x_1 == 2*r10 + 2*r9, x_2 == r10, x_3 == -2*r9, x_4 == r9]]
```

How can I extract the vector

`V = `~~[2r10 ~~[2*r10 + ~~2r9, ~~2*r9, r10, ~~-2r9, ~~-2*r9, r9]

describing these solutions?

Any suggestion to find the dimension of the solution space for a system with infinitely many solutions as above using Sage?

For example: solve a linear system (in sagemath) with infinitely many solutions and get:

`[[x_1`

solve([x+2

y+2z+2w==0, 2x+4y+6z+8w==0, 3x+6y+8z+10*w==0], x,y,z,w)

`[[x ==`

~~2*r10 + 2*r9, x_2~~2r1 - 2r2, y ==~~r10, x_3~~r2, z ==~~-2*r9, x_4~~-2*r1, w ==~~r9]]~~

How can I extract the vector

`V = `~~[2*r10 + 2*r9, r10, -2*r9, r9]
~~[2*r1 - 2*r2, r2, -2*r1, r1]

describing these solutions?

Any suggestion to find the dimension of the solution space for a system with infinitely many solutions as above using Sage?

PS. I'm sorry if the question is too trivial, I"m new a user...

For example: solve a linear system (in sagemath) with infinitely many solutions and get:

solve([x+2*y+2*z+2*w==0, 2*x+4*y+6*z+8*w==0, 3*x+6*y+8*z+10*w==0], x,y,z,w)

[[x == 2*r1 - 2*r2, y == r2, z == -2*r1, w == r1]]

How can I extract the vector

```
V = [2*r1 - 2*r2, r2, -2*r1, r1]
```

describing these solutions?

Any suggestion to find the dimension of the solution space for a system with infinitely many solutions as above using Sage?

PS. I'm sorry if the question is too trivial, ~~I"m ~~I'm new a user...

For example: solve a linear system (in sagemath) with infinitely many solutions and get:

sage: var('x y z w')
sage: solve([x+2*y+2*z+2*w==0, 2*x+4*y+6*z+8*w==0, 3*x+6*y+8*z+10*w==0], x,y,z,w)

sage: [[x == 2*r1 - 2*r2, y == r2, z == -2*r1, w == r1]]

How can I extract the vector

```
V = [2*r1 - 2*r2, r2, -2*r1, r1]
```

describing these solutions?

PS. I'm sorry if the question is too trivial, I'm new a user...

For example: solve a linear system (in sagemath) with infinitely many solutions and get:

sage: var('x y z ~~w')
sage: ~~w'); solve([x+2*y+2*z+2*w==0, 2*x+4*y+6*z+8*w==0, 3*x+6*y+8*z+10*w==0], x,y,z,w)

~~sage: ~~[[x == 2*r1 - 2*r2, y == r2, z == -2*r1, w == r1]]

How can I extract the vector

```
V = [2*r1 - 2*r2, r2, -2*r1, r1]
```

describing these solutions?

PS. I'm sorry if the question is too trivial, I'm new a user...

For example: solve a linear system (in sagemath) with infinitely many solutions and get:

sage: var('x y z w'); solve([x+2*y+2*z+2*w==0, 2*x+4*y+6*z+8*w==0, 3*x+6*y+8*z+10*w==0], x,y,z,w)

[[x == 2*r1 - 2*r2, y == r2, z == -2*r1, w == r1]]

How can I extract the vector

```
V = [2*r1 - 2*r2, r2, -2*r1, r1]
```

describing these solutions?

PS. I'm sorry if the question is too trivial, I'm new a user...

For example: solve a linear system (in sagemath) with infinitely many solutions and get:

sage: var('x y z w'); solve([x+2*y+2*z+2*w==0, 2*x+4*y+6*z+8*w==0, 3*x+6*y+8*z+10*w==0], x,y,z,w)

[[x == 2*r1 - 2*r2, y == r2, z == -2*r1, w == r1]]

How can I extract the vector

```
V = [2*r1 - 2*r2, r2, -2*r1, r1]
```

describing these solutions?

PS. I'm sorry if the question is too trivial, I'm new a user...

For example: solve a linear system (in sagemath) with infinitely many solutions and get:

`sage: var('x y z w'); `~~solve([x+2~~*y+2*z+2*w==0, 2*x+4*y+6*z+8*w==0, 3*x+6*y+8*z+10*w==0], x,y,z,w) solve([x+2*y+2*z+2*w==0, 2*x+4*y+6*z+8*w==0, 3*x+6*y+8*z+10*w==0], x,y,z,w)
[[x == ~~2~~*r1 **2*r1 - *~~2~~r2, 2*r2, y == r2, z == -2*r1, w == ~~r1]]~~

r1]]

How can I extract the vector

```
V = [2*r1 - 2*r2, r2, -2*r1, r1]
```

describing these solutions?

PS. I'm sorry if the question is too trivial, I'm new a user...

For example: solve a linear system (in sagemath) with infinitely many solutions and get:

`sage: var('x y z `~~w'); solve([x+2*y+2*z+2*w==0, 2*x+4*y+6*z+8*w==0, 3*x+6*y+8*z+10*w==0], x,y,z,w)
~~w')
sage: eqq = [x + 2*y + 2*z + 2*w, 2*x + 4*y + 6*z + 8*w, 3*x + 6*y + 8*z + 10*w]
sage: solve(eqq, x, y, z, w)
[[x == 2*r1 - 2*r2, y == r2, z == -2*r1, w == r1]]

How can I extract the vector

```
V = [2*r1 - 2*r2, r2, -2*r1, r1]
```

describing these solutions?

PS. I'm sorry if the question is too trivial, I'm new a user...

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