Data605discussion1

Discussion Week 1 - Problem C34 on page 19

Inputting the matrix into R

A <- matrix(c(1,1,1,1,-1,1,-1,-1,-1, -5,-3,0),3,4)
A

##      [,1] [,2] [,3] [,4]
## [1,]    1    1   -1   -5
## [2,]    1   -1   -1   -3
## [3,]    1    1   -1    0

Row Manipulation to Find Solutions

Subtract row 1 from row 3

A[3,] <- A[3,] -A[1,] 
A

##      [,1] [,2] [,3] [,4]
## [1,]    1    1   -1   -5
## [2,]    1   -1   -1   -3
## [3,]    0    0    0    5

The third row of the matrix says 0x + 0y + 0z = 5

There are therefore no solutions to this system of equations.