Let A= [a_{i j}] 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 Z, then \alpha+\beta is equal to [29 Jan 2025 Shift 2]

JEE Main 29 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 4 of 75

Marks: +1, -0

Let A=[aij] be a matrix of order 3×3, with aij=(√2)i+j. If the sum of all the elements in the third row of A2 is α+β√2,α,β∈Z, then α+β is equal to

[29 Jan 2025 Shift 2]

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