Matrices

CBSE Class 12 · Mathematics · 34 past questions

7 of 34 · show all

1. Q28 2023

   If $A = \begin{bmatrix} 1 & 4 & x \\ z & 2 & y \\ -3 & -1 & 3 \end{bmatrix}$ is a symmetric matrix, then the…

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2. Q29 2023

   A and B are skew-symmetric matrices of same order. AB is symmetric, if…

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3. Q30 2023

   For what value of $x \in \left[0, \dfrac{\pi}{2}\right]$, is $A + A' = \sqrt{3}\, I$, where…

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4. Q31 2023

   If $A = \begin{bmatrix} 3 & 4 \\ 5 & 2 \end{bmatrix}$ and $2A + B$ is a null matrix, then $B$ is equal to…

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5. Q32 2023

   If $A = \begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix}$ and $(3I + 4A)(3I - 4A) = x^2 I$, then the value(s)…

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6. Q33 2023

   If $A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}$, then $A^{2023}$ is equal to

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7. Q34 2023

   If $\begin{bmatrix} 2 & 0 \\ 5 & 4 \end{bmatrix} = P + Q$, where P is a symmetric and Q is a skew symmetric…

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