Question

What do you call a matrix that doesn't have a solution? Like there is homogeneous matrix and then there is augmented matrix

Answer 1

It's a really simple question but I can never tell the difference sometimes it's like find the equations from the matrix and I wouldn't know how many variables to consider

Answer 2

A matrix without an INVERSE is a singular matrix.

Answer 3

Haha solution is the wrong word to use

Answer 4

I meant like the last column is numbers and not variables

Answer 5

A matrix is just a bunch of numbers

Answer 6

Is the matrix square?
No = singular

If the matrix is square then...
Is det = 0 ? (Singular)
Is det nonzero ? (It has an inverse.)

Answer 7

so if it's square, lets say like 4x4, would there be for variables like x_1 x_2 x_3 x_4

Answer 8

sometimes the matrix is like 3x4 and there are only 3 variables?

Answer 9

confused about the statement "matrix with no solution"

Answer 10

oh ignore the no solution, its the wrong word to use

Answer 11

Oh, you're talking about a system of linear equations, then.

Answer 12

What's the right word?

Answer 13

hmm like say [1 -3 0 0; 0 0 1 0; 0 0 0 1]

Answer 14

I thought the linear equations were x_1=3x_2, x_3=0

Answer 15

then the last row I thought the last column was x_4?

Answer 16

Stop talking gobbledegook and post a problem that u don't get....

Answer 17

...it's not a problem just a concept. like [1 0 8 -5 6; 0 1 4 -9 3; 0 0 1 1 2] If I need to make equations from this matrix

Answer 18

I row reduced and got [1 0 0 -13 -10; 0 1 0 -13 -5; 0 0 1 1 2]

Answer 19

I'll tell you again, that is just a bunch of numbers.

What is it representing?

Answer 20

a matrix?

Answer 21

it says find the equations of the system

Answer 22

That all it says?

Answer 23

do I need to know if its augmented or something

Answer 24

Areid, I suggest you start here http://tutorial.math.lamar.edu/Classes/LinAlg/SystemsOfEqns.aspx

Answer 25

Good idea, actual equations there...

Answer 26

okay I'll just read that thanks for your help anyways