- #1

- 24

- 0

I have to find (a,b) \in R when the system of linear equations

a) have no solution

b) have one solution

c) have infinitely mane solutions.

I've converted the equations so they're on a row echelon form. My question is, what do I do from here?

- Thread starter LTP
- Start date

- #1

- 24

- 0

I have to find (a,b) \in R when the system of linear equations

a) have no solution

b) have one solution

c) have infinitely mane solutions.

I've converted the equations so they're on a row echelon form. My question is, what do I do from here?

- #2

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 962

x

x

-(a+1)x

(2a+2)x

First, those are

- #3

- 24

- 0

This is it: http://peecee.dk/uploads/042009/Screenshot-1.png

Should I reduce it even further to the "reduced row echelon form", if I want to use your suggestion?

- #4

- 24

- 0

a^2+a = 0 => a=0 or a=-1

No solution:

a^2+a=0 and ab+b != 0

a=0, b \in R except 0

One solution:

ab+b != 0 <=> ab != -b

a \in R except -1 and b \in R or the opposite.

No unique solution:

a^2+a=0 and ab+b = 0

a=0 and b= 0 or a=-1 and b \in R

Is this correct?

- Replies
- 8

- Views
- 1K

- Replies
- 2

- Views
- 2K

- Replies
- 2

- Views
- 2K

- Replies
- 7

- Views
- 14K

- Replies
- 7

- Views
- 3K

- Replies
- 2

- Views
- 809

- Replies
- 11

- Views
- 834

- Replies
- 8

- Views
- 1K

- Replies
- 1

- Views
- 861

- Last Post

- Replies
- 2

- Views
- 1K