JEE Main 2024 Mathematics question
Let A be a 3 × 3 real matrix such that , , . Then, the system has
Answer: (D)
Solution
The given relations give A(1, 0, 1)ᵀ = (2, 0, 2)ᵀ, A(−1, 0, 1)ᵀ = (−4, 0, 4)ᵀ and A(0, 1, 0)ᵀ = (0, 2, 0)ᵀ. Solving for the columns of A gives A = [[3, 0, −2], [0,
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