NDA 2023 Mathematics question

MathematicsMatricesNDA 2023

Let be a system of 3 linear equations with 3-unknowns. Let and be its two distinct solutions. If the combination is a solution of ; where , are real numbers, then which one of the following is correct?

Answer: (B)

Solution

and . Then A(aX_1+bX_2) = aAX_1+bAX_2 = (a+b)B. For to be

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Question ID VK-029540