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Online Program\(\text{A vector matrix is a matrix with one column, and expressed as a }{\rm 2}\times {\rm 1}\text{ matrix is }\left[\begin{array}{c} {a_{11} } \\ {a_{21} } \end{array}\right] \)
\(\text{To reflect a vector across the line y=x using matrices, we multiply the vector by the matrix } \left[\begin{array}{cc} {0} & {1} \\ {1} & {0} \end{array}\right]\)
\(\text{What is the resulting vector if we rotate the vector matrix }\left[\begin{array}{c} {7} \\ {-8} \end{array}\right]\text{across the line y=x} ?\)