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Linear AlgebraEasyMatrices & Systems

Matrices & Systems · Easy problem

The matrix AA has columns a1=(102)\mathbf a_1 = \begin{pmatrix}1\\0\\2\end{pmatrix}, a2=(31−1)\mathbf a_2 = \begin{pmatrix}3\\1\\-1\end{pmatrix} and a3=(025)\mathbf a_3 = \begin{pmatrix}0\\2\\5\end{pmatrix}. Using the column picture, find the third (bottom) component of A(2−11)A\begin{pmatrix}2\\-1\\1\end{pmatrix}.