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Matrices and Determinants question

2025 · 29 Jan · Shift 2 · Q39

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JEE Main
Mathematics
Matrices and Determinants
2025 · 29 Jan · Shift 2 · Q39

Matrices and Determinants question

2025 · 29 Jan · Shift 2 · Q39

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

\mathrm{A}=\left[a_{i j}\right]

be a matrix of order

3 \times 3

, with

a_{i j}=(\sqrt{2})^{i+j}

. If the sum of all the elements in the third row of

A^2

is

\alpha+\beta \sqrt{2}, \alpha, \beta \in \mathbf{Z}

, then

\alpha+\beta

is equal to :

A
210
B
280
C
224
D
168

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