JEE Main 2026 Mathematics question
Let and . If A² − 4A + I = O and B² − 5B − 6I = O, then among the two statements: (S1): and (S2): det(adj(A + B)) = −5,
Answer: (B)
Solution
Comparing with the characteristic polynomials gives α = 3 and β = 4. Then (B − A)(B + A) = [[13, 15], [7, 10]], whose transpose is [[13, 7],
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