If order of matrix A is m x p and order of matrix B is p x n, then what is the order of matrix AB ? Option 1: m x p Option 2: m x n Option 3: p x n Option 4: m x 2

Answer: m x n. Solution: When matrix A is m x p and B is p x n, the product AB is defined and has order m x n.

Algebra

Matrices & Determinants

Easy

common

If order of matrix A is $m \times p$ and order of matrix B is $p \times n$ , then what is the order of matrix AB ?

$m \times p$

$m \times n$

$p \times n$

$m \times 2$

✅ Correct Option: 2

When matrix $A$ is $m \times p$ and $B$ is $p \times n$ , the product $AB$ is defined and has order $m \times n$ .

2026: 18 May Shift 1

Match List-I with List-II

List-I	List-II
Matrix A	$\left\vert \text{adj}A \right\vert$
(A) $\begin{bmatrix} 2 & 1 \\ 3 & 4 \end{bmatrix}$	(I) $2$
(B) $\begin{bmatrix} 3 & 0 \\ 1 & 5 \end{bmatrix}$	(II) $5$
(C) $\begin{bmatrix} 6 & -1 \\ 5 & 3 \end{bmatrix}$	(III) $15$
(D) $\begin{bmatrix} 1 & 0 \\ 0 & 2 \end{bmatrix}$	(IV) $23$

Choose the correct answer from the options given below:

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

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If $A=\begin{bmatrix}1 & 1 & 1\\1 & 0 & 3\\1 & -2 & 1\end{bmatrix}$ , then

Match List-I with List-II

List-I	List-II
(A) $\lvert A\rvert$	(I) 48
(B) $\lvert 2A\rvert$	(II) 36
(C) $\left\lvert\operatorname{adj}(A)\right\rvert$	(III) 12
(D) $2\lvert A\rvert$	(IV) 6

Choose the correct answer from the options given below:

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The linear equation involving $x$ and $y$ are written in matrix form as: