Q19Multiple correct3 Marks1 Dec 2024

Consider the system $Ax=b$, where $A$ is an $m\times n$ matrix and $b\in\mathbb{R}^m$. Choose all options that guarantee that the solution set is an affine subspace of $\mathbb{R}^n$.

A

$b=0$.

B

$b$ is in the column space of $A$.

C

$\operatorname{rank}(A)=n$.

D

$m=n$ and $A$ is an invertible matrix.