Let A = [a_ij] be a matrix of order 3 × 3, with a_ij = (√2)^(i+j)… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 29 January, Shift 2Algebra of Matrices

Let $A = [a_{ij}]$ be a matrix of order $3 \times 3$ , with $a_{ij} = (\sqrt{2})^{i+j}$ . If the sum of all the elements in the third row of $A^2$ is $\alpha + \beta\sqrt{2}$ , where $\alpha, \beta \in \mathbb{Z}$ , then $\alpha + \beta$ is equal to:

A
$280$
B
$168$
C
$210$
D
$224$

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