1.
Let A=[2b1bb2+1b1b2]A=\begin{bmatrix} 2 & b & 1 \\ b & b^{2}+1 & b \\ 1 & b & 2 \end{bmatrix} where b>0b>0. Then the minimum value of det(A)b\frac{\det(A)}{b} is:
Matrices and Determinants - Medium - Question