Solution
= Solution
{c}
\b[No.] Take $A=I_m$ and $\mathbf b=0$. The <homogeneous linear system> then has only the solution $\mathbf x=0$. Homogeneity ensures existence, but infinitely many solutions would additionally require a nonzero <kernel>.
= Solution
{c}
\b[No.] Take $A=I_m$ and $\mathbf b=0$. The <homogeneous linear system> then has only the solution $\mathbf x=0$. Homogeneity ensures existence, but infinitely many solutions would additionally require a nonzero <kernel>.