CUET Mathematics 2025 - Assume P, Q, R and W are matrices of order 3 x 3, a x 4, b x c and d x a respectively. If PQ + WR is well defined, then the value of ab + cd is: | PYQs + Solutions

2022: 7 Aug Shift 2

Let $A = (a_{ij})$ and $B = (b_{ij})$ are square matrices of same order.

(A) The number of possible matrices of order $2 \times 2$ with entries $-1, 0, 1$ is 81.

(B) $A + A'$ is skew symmetric matrix

(C) $A \cdot A^{-1} = 0$ , $|A| \neq 0$

(D) A is skew symmetric matrix if $a_{ij} = -a_{ji}$ for all $i, j$

(E) $(AB)' = A'B'$

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2022: 30 Aug Shift 1

If $2 \begin{bmatrix} a & d \\ b & c \end{bmatrix} + 3 \begin{bmatrix} 1 & -1 \\ 0 & 2 \end{bmatrix} = 3 \begin{bmatrix} 3 & 5 \\ 4 & 6 \end{bmatrix}$ , then the value of $|a + b - c - d|$ is

2026: 26th May Shift 2

If A is a skew-symmetric matrix then, the matrix $B^TAB$ is:-

2025: 30 May Shift 1

Let $A$ be a non singular matrix of order $n \times n$ , Then $|\text{adj }(3A)|$ is equal to:

2025: 13 May Shift 1

If the points $(2, -3)$ , $(\lambda, -1)$ and $(0, 4)$ are collinear, then the value of $\lambda$ is

2025: 13 May Shift 1

Match List-I with List-II

List-I	List-II
Type of matrix	Conditions
(A) Square matrix A	(I) $A = [a_{ij}]_{m \times m}$ where $\begin{cases} a_{ij} = 0 & , i \neq j \\ a_{ij} = k & , i = j \end{cases}$ , where $k \neq 0$ is constant.
(B) Scalar Matrix A	(II) $A = [a_{ij}]_{m \times m}$
(C) Diagonal matrix A	(III) $A = [a_{ij}]_{m \times m}$ where $\begin{cases} a_{ij} = 0 & , i \neq j \\ a_{ij} = 1 & , i = j \end{cases}$
(D) Identity matrix A	(IV) $A = [a_{ij}]_{m \times m}$ where $a_{ij} = 0$ , $i \neq j$

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Assume $P$, $Q$, $R$ and $W$ are matrices of order $3 \times 3$, $a \times 4$, $b \times c$ and $d \times a$ respectively. If $PQ + WR$ is well defined, then the value of $ab + cd$ is:

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