data 605 discussion wk1

I tried C33 on page 19 as execise

C33 Find all solutions to the linear system:x + y - z = -1; x - y - z = -1; z = 2;

(Page 19). Solution-

A = matrix(c(1, 1, 0, 1, -1, 0, -1, -1, 1), nrow=3, ncol=3)
b = matrix(c(-1, -1, 2), nrow=3, ncol=1)
A

##      [,1] [,2] [,3]
## [1,]    1    1   -1
## [2,]    1   -1   -1
## [3,]    0    0    1

b

##      [,1]
## [1,]   -1
## [2,]   -1
## [3,]    2

solve(A,b)

##      [,1]
## [1,]    1
## [2,]    0
## [3,]    2

``` So x=1, y=0, z=2