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Matrices and Determinants question

2023 · 25 Jan · Shift 2 · Q27

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JEE Main
Mathematics
Matrices and Determinants
2023 · 25 Jan · Shift 2 · Q27

Matrices and Determinants question

2023 · 25 Jan · Shift 2 · Q27

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

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}

B

^{26}-

B

^{26}

A

^{13}

is symmetric (S2) A

^{26}

C

^{13}-

C

^{13}

A

^{26}

is symmetric Then,

A
Only S2 is true
B
Only S1 is true
C
Both S1 and S2 are false
D
Both S1 and S2 are true

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