[Solution Library] What does it mean for a vector to be in the image of a matrix A? Let A be the matrix [ccc1 2 5 , -2 0 -2 , 3 -1 1] . Is [c1 , 2 , -1]


Question: What does it mean for a vector to be in the image of a matrix A?

Let \(A\) be the matrix \(\left[\begin{array}{ccc}1 & 2 & 5 \\ -2 & 0 & -2 \\ 3 & -1 & 1\end{array}\right] .\) Is \(\left[\begin{array}{c}1 \\ 2 \\ -1\end{array}\right]\) an element of the image of \(A\) ?

Why or why not?

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