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Online Program\(\text{A vector matrix is a matrix with one column, and expressed as a}\ {\rm 2}\times {\rm 1} \text{matrix is} \left[\begin{array}{c} {a_{11} } \\ {a_{21} } \end{array}\right] . \)
\(\text{To reflect a vector across the {x}-axis using matrices, we multiply the vector by the matrix} \left[\begin{array}{cc} {1} & {0} \\ {0} & {-1} \end{array}\right] . \)
\(\text{What is the resulting vector if we rotate the vector matrix }\left[\begin{array}{c} {3} \\ {6} \end{array}\right] \text{across the {x}-axis?}\)