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Matrices and Determinants question

2025 · 8 Apr · Shift 2 · Q31

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JEE Main
Mathematics
Matrices and Determinants
2025 · 8 Apr · Shift 2 · Q31

Matrices and Determinants question

2025 · 8 Apr · Shift 2 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let α be a solution of

x^2 + x + 1 = 0

, and for some a and b in

R, \begin{bmatrix} 4 & a & b \end{bmatrix} \begin{bmatrix} 1 & 16 & 13 \\ -1 & -1 & 2 \\ -2 & -14 & -8 \end{bmatrix} = \begin{bmatrix} 0 & 0 & 0 \end{bmatrix}

. If

\frac{4}{\alpha^4} + \frac{m}{\alpha^a} + \frac{n}{\alpha^b} = 3

, then m + n is equal to

\underline{\hspace{2cm}}

A
11
B
3
C
8
D
7

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