Let A be a 2 × 2 matrix with real entries such that A^T = α A + I… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 11 April, Shift 1Algebra of Matrices

Let $A$ be a $2 \times 2$ matrix with real entries such that $A^T = \alpha A + I$ , where $\alpha \in \mathbb{R} \setminus \{-1, 1\}$ . If $\det(A^2 - A) = 4$ , then the sum of all possible values of $\alpha$ is equal to:

A
$0$
B
$\frac{5}{2}$
C
$2$
D
$\frac{3}{2}$

Answer & step-by-step solution

Practice more Algebra of Matrices questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Algebra of Matrices

Answer & step-by-step solution

Practice more Algebra of Matrices questions

Related questions