Question

what is the augmented matrix for the following system of linear equation?
-x+y-z=5
x+y-z=11
x+y+z=8

Answer 1

well, pull off the variables and leave the coeffs

Answer 2

notice that the rows are just inner products of 2 vectors

(-1,1,-1).(x,y,z) = -1x +1y -1z = 5

Answer 3

undo the product ... and youll have your row vectors

Answer 4

-1, 1, -1, 5
1, 1, -1, 11
1, 1, 1, 8

Answer 5

that is the answer

Answer 6

http://www.purplemath.com/modules/matrices.htm

Answer 7

correct, that is the augmetned matrix

Answer 8

Thank you very much