Matrices

JEE Main · Mathematics · 11 past questions

These are the board's own papers. 108 more board questions reprinted in the books we use in class are for signed-in students: sign in.

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1. Q4 2026 4 Apr Shift 1

   Let $A = \begin{bmatrix} 1 & 1 & 2 \\ -2 & 0 & 1 \\ 1 & 3 & 5 \end{bmatrix}$. Then the sum of all elements of…

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2. Q10 2026 6 Apr Shift 2

   Let $A = \begin{bmatrix} 1 & 3 & -1 \\ 2 & 1 & \alpha \\ 0 & 1 & -1 \end{bmatrix}$ be a singular matrix. Let…

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3. Q11 2026 8 Apr Shift 2

   Let A = [[α,1,2],[2,3,0],[0,4,5]] and B = [[1,0,0],[0,-5α,0],[0,4α,-2α]] + adj(A). If det(B) = 66, then…

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