Question

How to reduce this into row echelon form?
Answer would be nice as I have done it but the answer in the book is different to my answer.

Answer 1

\[\left[\begin{matrix}0 & 1 &3 &2\\ 0 & 0&5&6\\1&5&1&5\end{matrix}\right]\]

Answer 2

1st swap rows 1 and 3

Answer 3

then swap rows 3 and 2

Answer 4

the answer i get is
\[\left[\begin{matrix}1 & 0&0&-5 \\ 0&1&0&2 &\\0&0&1&0\end{matrix}\right]\]

Answer 5

but this the reduced eschelon form

Answer 6

never mind. we'll get there

Answer 7

by the way. IF u typed the matrix correctly, the answer your book gives u is wrong

Answer 8

did you get the same result?

Answer 9

i got
\[ \large \begin{pmatrix}
1 & 0 & 0 & 59/5\\ 0 & 1 & 0 & -8/5\\ 0 & 0 & 1 & 6/5
\end{pmatrix} \]

Answer 10

thats the answer in the book!!

how did you get this?

Answer 11

did u do the first two operations i told u?

Answer 12

u should have right now

1 5 1 5
0 1 3 2
0 0 5 6

Answer 13

i see what i did wrong,

Answer 14

i first do the reducing then i arrange them in echelon form.

Thank you @helder_edwin

Answer 15

not necessarily. u can perform the operations in the order u see fit.

as long as u don't make mistakes, of course.

Answer 16

u r welcome