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Matrices and Determinants question

2023 · 6 Apr · Shift 1 · Q28
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  5. /2023 · 6 Apr · Shift 1 · Q28

Matrices and Determinants question

2023 · 6 Apr · Shift 1 · Q28

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A=[aij]2×2\mathrm{A}=\left[\mathrm{a}_{\mathrm{ij}}\right]_{2 \times 2}A=[aij​]2×2​, where aijeq0\mathrm{a}_{\mathrm{ij}} eq 0aij​eq0 for all i,j\mathrm{i}, \mathrm{j}i,j and A2=I\mathrm{A}^{2}=\mathrm{I}A2=I. Let a be the sum of all diagonal elements of A\mathrm{A}A and b=∣A∣\mathrm{b}=|\mathrm{A}|b=∣A∣. Then 3a2+4b23 a^{2}+4 b^{2}3a2+4b2 is equal to :
  1. A
    4
  2. B
    3
  3. C
    14
  4. D
    7
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