Consider the following 2x2 matrix A where two elements are unknown and are marked by a and b. The eigen values of this matrix are -1 and 7. What are the values of a and b?
$$ A = \begin{bmatrix} 1 & 4 \\ b & a \end{bmatrix} $$
- a = 6, b = 4
- a = 4, b = 6
- a = 3, b = 5
- a = 5, b = 3
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