Determining whether we can actually solve a system Axb is th

Determining whether we can actually solve a system Ax=b is the first step in finding solutions. Read about the invertibility of a matrix.

Then consider an n×n matrix A, an n×1 vector b, and the linear system

Ax=b

When does a unique solution xx exist?

Choice*

When bb is the the column space of A.

When A is full rank.

When the diagonal of A is positive.

Always.

for a system Ax=b

there are two conditions for unique solution 1) A has to be square matrix

2) A has to be non singular matrix

For a square matrix to be nonsingular it has to be a full rank matrix

that is rank of A = n

since question says that A is square matrix

so the correct choice is it must be full rank matrix