Let A = … where b > 0. Then the minimum value of … is -

Option D. A = …\left[ {\matrix{ 2 & b & 1 \cr b & {{b^2} + 1} & b \cr 1 & b & 2 \cr

Matrices and Determinants

JEE Main 2019 · 10 Jan, Evening shift · Q4455

MathematicsMedium244×since 2002Q4455

Let A =

\left[ {\matrix{ 2 & b & 1 \cr b & {{b^2} + 1} & b \cr 1 & b & 2 \cr } } \right]

where b > 0. Then the minimum value of

{{\det \left( A \right)} \over b}

is -

JEE Main 2019 · 10 Jan, Evening shift · Q4455

MathematicsMedium244×since 2002Q4455

Let A =

\left[ {\matrix{ 2 & b & 1 \cr b & {{b^2} + 1} & b \cr 1 & b & 2 \cr } } \right]

where b > 0. Then the minimum value of

{{\det \left( A \right)} \over b}

is -