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Determine if the t is a linear transformation. t(x1, x2) = (7x1 + x2, −5x1 + 9x2) the function is a linear transformation. the function is not a linear transformation. if so, identify the matrix a such that t(x) = ax. (if the function is not a linear transformation, enter dne into any cell.)

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5naka
t is linear transformation, since we can represent t in a marix

[tex]t\left({\begin{matrix}x_{1}\\x_{2}\end{matrix}}\right)=\left({\begin{matrix}7x_{1}+x_{2}\\-5x_{1}+9x_{2}\end{matrix}}\right)\\=\left({\begin{matrix}7&1\\-5&9\end{matrix}}\right) \left({\begin{matrix}x_{1}\\x_{2}\end{matrix}}\right)[/tex]

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