If B = beginbmatrix 5 & 2α & 1 \ 0 & 2 & 1 \ α & 3 & -1 endbmatrix is the inverse of a 3 × 3 matrix A, then the sum of all values of α for which det(A) + 1 = 0, is

If B = beginbmatrix 5 & 2α & 1 \ 0 & 2 & 1 \ α & 3 & -1… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 Apr · Shift II

B = \begin{bmatrix} 5 & 2\alpha & 1 \\ 0 & 2 & 1 \\ \alpha & 3 & -1 \end{bmatrix}

is the inverse of a

3 \times 3

matrix

A

, then the sum of all values of

\alpha

for which

\det(A) + 1 = 0

, is

Show answer

Correct option: C

[JEE Main 2019 · 12 Apr · Shift II]

Practise Matrices and Determinants the way it is asked

A timed set of real JEE Main Matrices and Determinants questions, graded as the exam grades. No sign-up.