Determine whether **b** is in col(A), as in Example 3.41.\[ A = \begin{bmatrix} 1 & 1 & -4 \\ 0 & 2 & 1 \\ 1 & -1 & 5 \end{bmatrix}, \quad b = \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix}, \quad w = \begin{bmatrix} 2 & 4 & -7 \end{bmatrix} \]- ○ **b** is in col(A).- ○ **b** is not in col(A).Determine whether **w** is in row(A), as in Example 3.41.- ○ **w** is in row(A).- ○ **w** is not in row(A).

NOTE: Refresh your page if you can't see any equations. .if the vector b is in the column space of A then the system Ax=b is consistent the system Ax=b is augmented matrix is here we have one pivot entry at the first, second and third columns. therefore the system is consistent. which means the vector v is in col(A)if the vector w is in the row space of A then the system ATx=wT is consistent the system ATx=wT is augmented matrix is here we have one pivot entry at the first, second and third columns. therefore the system is consistent. which means the vector w is in row(A). . NOTE: Refresh your page if you can't see any equations.