1. Show that the following statement is false: if the matrix equation Ax = b has solutions, then the equation ATX = c mu
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
1. Show that the following statement is false: if the matrix equation Ax = b has solutions, then the equation ATX = c mu
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