Answer:
Step-by-step explanation:
If [tex]A^{-1}[/tex] exist, then we have that [tex]A^{-1}\cdot A=1[/tex].
Therefore, in the case that [tex]AX=0[/tex], if we multiply both
terms in the equation by [tex]A^{-1}[/tex], then we have
[tex]A \cdot A^{-1}X=A^{-1}0[/tex]
and so the equation tells us that
[tex]X=A\cdot A^{-1}X=A^{-1}0=0[/tex].
