Let and be real numbers. Consider a matrix such that:
Then:
- A
- B
- C
- D
MCQMediumJEE Main 2023 · 29 January, Shift 1Algebra of Matrices
Mathematics Question from JEE Main 2023 · 29 January, Shift 1
Answer & step-by-step solution
Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.
Practice more Algebra of Matrices questions
Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.
Related questions
- For the matrices A = 3 -4 1 -1 and B = -29 49 -13 18, if (A¹⁵ + B) x y = 0 0, then among the following which…Medium · JEE 2026
- Let A = 0 2 -3 -2 0 1 3 -1 0 and B be a matrix such that B(I - A) = I + A. Then the sum of the diagonal…Medium · JEE 2026
- The number of 3×2 matrices A, which can be formed using the elements of the set {-2,-1,0,1,2} such that the…Medium · JEE 2026
- Let A = [a_ij] be a 3 × 3 matrix such that A 0 1 0 = 0 0 1, A 4 1 3 = 0 1 0, A 2 1 2 = 1 0 0. Then a₂₃ equals:Easy · JEE 2025
- Let A = [ 1/√2 -2 0 1 ] and P = [ cos θ -sin θ sin θ cos θ ], θ > 0. If B = P A P^T, C = P^T B¹⁰ P, and the…Medium · JEE 2025
- Let S = { m ∈ ℤ: A^m² + A^m = 3I - A⁻⁶ }, where A = 2 -1 1 0 Then n(S) is equal to:Medium · JEE 2025