Question

Hey if this is in row echolen form then how about will you solve it?

1 0 8 -5 6
0 1 4 -9 3
0 0 1 1 2

Answer 1

Solve what? Is it an augmented matrix for a system of linear equations?

Answer 2

yeap

Answer 3

What was the original system? Or was it a question where its already in this form?

Answer 4

yes i've solved it..but the answer in the answer book states other wise. hold on quick

Answer 5

Please post the original system

Answer 6

there's no original system. the question states if this has been reduced to row echolen form then find the solution. so i know i have to make it into reduced row echolen form

Answer 7

i got this as my answer
1 0 0 -13 -10
0 1 0 -13 -5
0 0 1 1 2

Answer 8

and book states x1 = 13t - 10 and x2 = 13t - 5 and x3 = t - 2 and x4 = t

Answer 9

was wondering how they end up getting that?

Answer 10

The idea of getting it into reduced form is so that it is simple to solve the system.
Add the variables back in and solve, which is now very simple.

Answer 11

x_1 - 13x_4 = -10
x_2 - 13x_4 = -5
x_3 + 1x_4 = 2
x_4 is arbitrary

Answer 12

Since x_4 is arbitrary we can call it t our parameter:
Then we have
x_1 = -10 + 13t
x_2 = -5 + 13t
x_3 = 2 - t

Answer 13

This is the same as in your book