Matrices

CBSE Class 12 · Mathematics · 34 past questions

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Q1 2026

Which of the following cannot be the order of a row-matrix ?
Q2 2026

If A and B are skew symmetric matrices of same order, then which of the following matrices is also skew…
Q3 2026

If A and B are square matrices of same order, then which of the following statements is/are always true ?…
Q4 2026

If $A = \begin{bmatrix} 1 & a & b \\ -1 & 2 & c \\ 0 & 5 & 3 \end{bmatrix}$ is a symmetric matrix, then the…
Q5 2026

If A = $\begin{bmatrix}\cos x & -\sin x\\ \sin x & \cos x\end{bmatrix}$ and A + A' = I, then the value of…
Q6 2026

If A and B are skew-symmetric matrices of same order, then $AB' + BA'$ is a/an…
Q7 2026

If $\begin{bmatrix}4\\1\\3\end{bmatrix}A=\begin{bmatrix}-4&8&4\\-1&2&1\\-3&6&3\end{bmatrix}$, then order of A…
Q8 2026

If a square matrix A is such that $A^2 = A$ and $(I - A)^3 = xA + I$, then value of x must be…