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Online Program\(\text{A vector matrix is a matrix with one column, and expressed as a}\ {\rm 2}\times {\rm 1} \text{matrix is } \left[\begin{array}{c} {a_{11} } \\ {a_{21} } \end{array}\right] \)
\(\text{To reflect a vector across the line $y=x$ using matrices, we multiply the vector by the matrix} \left[\begin{array}{cc} {0} & {1} \\ {1} & {0} \end{array}\right] \)
\(\text{What is the resulting vector if we rotate the vector matrix} \left[\begin{array}{c} {-29} \\ {-31} \end{array}\right] \text{across the line y=x} ?\)
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