2. Find an equation for the tangent line to the curve y=F(x) at the point P where x=1 and (5%)

二、線性代數部分： 1. Find the matrix A whose eigenvalues are 4 and 1 and whose eigenvectors are \( \begin{bmatrix} 2 \\ 1 \end{bmatrix} \)and\( \begin{bmatrix} 3 \\ 1 \end{bmatrix} \), respectively.(10%)

2. Find an equation for the tangent line to the curve y=F(x) at the point P where x=1 and (5%)

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