List of top Mathematics Questions on Matrices asked in CUET (UG)

If the matrix $A = \begin{bmatrix} 0 & x + y & 1 \\ 3 & z & 2 \\ x - y & -2 & 0 \end{bmatrix}$ is skew-symmetric, then:

For a $3 \times 3$ matrix $A$, if $A(\operatorname{adj} A) = \begin{bmatrix} 99 & 0 & 0 \\0 & 99 & 0 \\0 & 0 & 99 \end{bmatrix}$, then $\det(A)$ is equal to:

The function $f(x) = \begin{vmatrix} x^{2} & x \\ 3 & 1 \end{vmatrix}, x \in \mathbb{R}$ has:

If $ A $ is a square matrix such that $ \text{adj}(\text{adj}(A)) = A $, then $ |A| $ is:

If $A$ is a non-singular square matrix of order 3 and $|A^{-1}| = 24$, then the value of $|2A(\operatorname{adj}(3A))|$ is:

For a matrix $ A $ of order $ 3 \times 3 $, which of the following is true?

If $ A $ is a square matrix such that $ \text{adj}(\text{adj}(A)) = A $, then $ |A| $ is:

If $A$ is a square matrix of order 3 and $A \cdot (\operatorname{Adj}(A)) = 10I$, then the value of $\frac{1}{25} |\operatorname{adj}(A)|$ is:

For a matrix $ A $ of order $ 3 \times 3 $, which of the following is true?

If $\begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix} \begin{bmatrix} 1 & -3 \\ -2 & 4 \end{bmatrix} = \begin{bmatrix} -4 & 6 \\ -9 & x \end{bmatrix}$, then the value of $x$ is:

If $A$ is a square matrix of order 3 such that $|A| = 2$, then $|\operatorname{adj}(\operatorname{adj}(A))|$ is:

If $A, B$ are symmetric matrices of the same order, then $AB - BA$ is a:

If the matrix$\begin{bmatrix}0 & -1 & 3x\\1 & y & -5\\-6 & 5 & 0 \end{bmatrix} $is skew-symmetric, then the value of 5x−y is:

If$\begin{bmatrix}5x+8 & 7 \\y+3 & 10x+12 \end{bmatrix} $=$\begin{bmatrix}2 & 3y+1 \\5 & 0 \end{bmatrix} $then the value of 5x + 3y is equal to:

For $ a, b > 0 $, if $ P = \begin{bmatrix} 0 & -a \\ 2a & b \end{bmatrix} $ and $ Q = \begin{bmatrix} b & a \\ -b & 0 \end{bmatrix} $ are two matrices such that $ PQ = \begin{bmatrix} 2 & 0 \\ 3 & 8 \end{bmatrix} $, then the value of $ (a + b)^{ab} $ is:

If $A = \begin{bmatrix} 3 & 2 \\ -1 & 1 \end{bmatrix} \quad \text{and} \quad B = \begin{bmatrix} -1 & 0 \\ 2 & 5 \\ 3 & 4 \end{bmatrix},$then $(BA)^T$ is equal to:

If $ A = \begin{bmatrix} 5 & 1 \\ -2 & 0 \end{bmatrix} $ and $ B^T = \begin{bmatrix} 1 & 10 \\ -2 & -1 \end{bmatrix} $, then the matrix $ AB $ is:

Given \[ A = \begin{bmatrix} 0 & \alpha & \beta \\ -\alpha & 0 & \gamma \\ -\beta & -\gamma & 0 \end{bmatrix}, \] the matrix $A$ is a:
(A) square matrix
(B) diagonal matrix
(C) symmetric matrix
(D) skew-symmetric matrix .
Choose the correct answer from the options given below:

If $[A]_{3 \times 2} [B]_{x \times y} = [C]_{3 \times 1}$, then $ x $ and $ y $ are:

For I =$\begin{bmatrix}1 & 0 \\0 & 1 \end{bmatrix}$, if X and Y are square matrices of order 2 such that XY = X and Y X = Y , then (Y²+ 2Y ) equals to:

If $ A = \begin{bmatrix} 2 & 3 \\ 1 & -4 \end{bmatrix} $ and $ B = \begin{bmatrix} 1 & -2 \\ -1 & 3 \end{bmatrix} $, then $ B^{-1} A^{-1} $ is equal to:

The domain of $ f(x) = \cos^{-1}(7x) $ is: