Let A = [a_ij]_(2× 2), where a_ij ≠ 0 for all i, j, and A² = I. L… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 6 April, Shift 1Algebra of Matrices

Let $A = [a_{ij}]_{2\times 2}$ , where $a_{ij} \ne 0$ for all $i, j$ , and $A^2 = I$ . Let $a$ be the sum of all diagonal elements of $A$ and $b = |A|$ . Then $3a^2 + 4b^2$ is equal to:

A
$14$
B
$4$
C
$3$
D
$7$

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