Instructions

1. Show that the following statement is false: if

the matrix equation A = b has solutions,

then the equation AT = c must also have solutions. A

can be any matrix, AT is its transpose, b and c are any

vectors of compatible size.

Note: more concretely, this means you should produce a

matrix A such that Ax=b has solutions, but A¹ x = c

does not. The vector is a variable, so it does not need to

have the same dimensions in both equations (it has

||||

whatever dimensions it needs to have to make the

relevant equation work).

2. Post your matrix A to the discussion board, along with a

brief explanation of why your matrix works.