L: R^{3} \rightarrow R^{2} \text { is defined as } L\left(\left[\begin{array}{l} a \\ b \\ c \end{array}\right]\right)=\left(\begin{array}{c} a+b \\ b+2 c \end{array}\right) (a) Find the standard matrix that represents L. (b) Find the ker L. (c) Find a basis for the range of L.

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