Question

Row reduce the augment matrix [A 0] to echelon form where...

Answer 1

A=\[\left[\begin{matrix}-3 & 6 & -1 & 1 & -7\\ 1 & -2 & 2 & 3 & -1\\ 2 & -4 & 5 & 8 & -4\end{matrix}\right]\]

Answer 2

My book didn't do any steps and gives me a matrix where the whole bottom row is zero. I really don't see how the book got to that.

Answer 3

The procedure is simple. It says use raw operations, so you have to change using: raw switch place, raw multiplication by number, raw adition; make you matrix look similar like :upper triangular matrix. It means all the elements that are under the mane diagonal are 0 and the numbers on the pivots are all 1

Answer 4

Yes I tried doing that right fromt he start I don't see how one row completely turns into zero since none of the rows are scalar multiples of each other.

Answer 5

Oh nevermind ima try to redo it see if it comes out right.

Answer 6

first put 2º raw up

Answer 7

Kk I got it. Can you tell me what the free variables are?

Answer 8

if it says that the matrix is augmented it means it is a 3x4 matrix. so there are 4 variables. since you say that the last raw is all 0, it means that onle 2 raws are independent. So 2 of 4 variables are free

Answer 9

I actually got 3 " X2 X4 X5
I was just checking if these are right

Answer 10

its a 3 X 5btw

Answer 11

hmm augmented matrix means that the right hand side of the equality is included in the matrix. ...