MCQMediumJEE Main 2024 · 29 January, Shift 1Algebra of Matrices

Mathematics Question from JEE Main 2024 · 29 January, Shift 1

Let AA be a square matrix such that AAT=IAA^T = I. Then 12A[(A+AT)2+(AAT)2]\frac{1}{2}A[(A + A^T)^2 + (A - A^T)^2] is equal to:

  • A

    A2+IA^2 + I

  • B

    A3+IA^3 + I

  • C

    A2+ATA^2 + A^T

  • D

    A3+ATA^3 + A^T

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