| 1. Show that the following statement is false: if the matrix equation Ax = b has solutions, then the equation ATX = c
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| 1. Show that the following statement is false: if the matrix equation Ax = b has solutions, then the equation ATX = c
statement is false: if the matrix equation Ax = b has solutions, then the equation ATX = c must also have solutions. A can be any matrix, AT is its transpose, b and care any vectors of compatible size. Note: more concretely, this means you should produce a matrix A such that Ax = b has solutions, but ATX = does not. The vector x 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.
| 1. Show that the following