Determinants

CBSE Class 12 · Mathematics · 30 past questions

12 of 30 · show all

1. Q3 2026

   If $A = \begin{bmatrix} 0 & 2 & 1 \\ -2 & -1 & -2 \\ 1 & -1 & 0 \end{bmatrix}$, find $A^{-1}$ and use it to…

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2. Q6 2026

   If $A^2 = 4A + 3I$ and $A^{-1} = xA + yI$, then the value of $(x + y)$ is…

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3. Q7 2026

   If…

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4. Q8 2026

   On the inauguration day of a new showroom, a lucky draw was organized and some vouchers of ₹ 1,000 and ₹ 500… (with a figure)

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5. Q11 2025

   A school wants to allocate students into three clubs : Sports, Music and Drama, under following conditions…

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6. Q12 2025

   Given $A = \begin{bmatrix} -4 & 4 & 4 \\ -7 & 1 & 3 \\ 5 & -3 & -1 \end{bmatrix}$ and…

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7. Q17 2024

   If $A = \begin{bmatrix} 1 & -2 & 0 \\ 2 & -1 & -1 \\ 0 & -2 & 1 \end{bmatrix}$, find $A^{-1}$ and use it to…

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8. Q18 2024

   Let $A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}$ be a square matrix such that adj $A = A$. Then…

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9. Q21 2024

   Solve the following system of equations, using matrices: $\frac{2}{x} + \frac{3}{y} + \frac{10}{z} = 4$…

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10. Q22 2023

    If $A \cdot (\operatorname{adj} A) = \begin{bmatrix} 3 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3 \end{bmatrix}$, then…

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11. Q24 2023

    If for a square matrix A, $A^2 - 3A + I = O$ and $A^{-1} = xA + yI$, then the value of $x + y$ is…

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12. Q30 2023

    If $A=\begin{bmatrix}-3&-2&-4\\2&1&2\\2&1&3\end{bmatrix}$…

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