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Matrices and Determinants question

2021 · 25 Feb · Shift 1 · Q40

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JEE Main
Mathematics
Matrices and Determinants
2021 · 25 Feb · Shift 1 · Q40

Matrices and Determinants question

2021 · 25 Feb · Shift 1 · Q40

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

If

A = \left[ {\begin{matrix} 0 & { - \tan \left( {{\theta \over 2}} \right)} \\ {\tan \left( {{\theta \over 2}} \right)} & 0 \\ \end{matrix} } \right]

and

({I_2} + A){({I_2} - A)^{ - 1}} = \left[ {\begin{matrix} a & { - b} \\ b & a \\ \end{matrix} } \right]

, then

13({a^2} + {b^2})

is equal to

Numerical answer

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