Question

Let A=\left[\begin{array}{ccc} -1 & -2 & -6 \\ -1 & -3 & -8 \\ 0 & 1 & 2 \end{array}\right] Find a basis for the image of A (or, equivalently,

for the linear transformation T(x) = Ar).

Fig: 1

Fig: 2

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Fig: 4