# Solution to system of linear equations in range of system matrix

## Homework Statement

See image. a) and b) have been solved. The problem is c)

## The Attempt at a Solution

I really have no idea where to begin. For the three systems given there are solutions x in range(A) for system 1 and 2 but not for 3. Therefore I have been trying to spot some obvious difference between system matrix A of system 2 and 3 but I cannot think of any clearly different property that could be linked to b.

Any hint just to get me started would be much appreciated.

#### Attachments

• problem.jpg
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Hint: Ask yourself whether $A^T y = 0 [/tex] has solutions such that [itex] y^T b \neq 0$.