Q31Section B (Section B)31 of 60

An inconsistent system tells the rank

Consider the linear system $Ax=b$ , where $A$ is an $m\times n$ matrix, $x$ is an $n\times 1$ vector of unknowns and $b$ is an $m\times 1$ vector. Further, suppose there exists an $m\times 1$ vector $c$ such that the linear system $Ax=c$ has NO solution. Then, which of the following statements is/are necessarily TRUE?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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