Let A, B, C be 3 × 3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements (S1) A ¹³ B ²⁶ - B ²⁶ A ¹³ is symmetric (S2) A ²⁶ C ¹³ - C ¹³ A ²⁶ is symmetric Then,

Matrices and Determinants: JEE Main 2023 Mathematics question

JEE Main 2023 · 25 Jan, Evening shift · Q4649

JEE Main 202325 Jan, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let A, B, C be 3

\times

3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements (S1) A

^{13}

^{26}

-

^{26}

^{13}

is symmetric (S2) A

^{26}

^{13}

-

^{13}

^{26}

is symmetric Then,