Question

If you have to solve Ax=b many times for different vectors b but the same matrix A, ​

Answer 1

I'm supposed to determine if system Ax = b (where x and b have appropriate number of components) has a solution for all choices of b.

For example, for these matrices:

a)

A=(34−42)

b)

A=⎛⎝⎜−3152−1−41−1−3⎞⎠⎟