CUET Mathematics: AlgebraMatrices & Determinants. Free, no login required.

AB, BA both are defined and are equal

AB is defined but BA is not defined

AB is not defined but BA is defined

AB, BA are defined but are not equal

Diagonal matrix

Symmetric matrix

Skew-symmetric matrix

Scalar matrix

1 and 3

1 and 2

2 and 3

3 and 0

$\begin{bmatrix} \cos 2\theta & \sin 2\theta \\ -\sin 2\theta & \cos 2\theta \end{bmatrix}$

$\begin{bmatrix} \cos^2\theta & \sin^2\theta \\ -\sin^2\theta & \cos^2\theta \end{bmatrix}$

$\begin{bmatrix} \cos\theta^2 & \sin\theta^2 \\ -\sin\theta^2 & \cos\theta^2 \end{bmatrix}$

$\begin{bmatrix} \cos\theta+\sin\theta & \cos\theta-\sin\theta \\ \sin\theta-\cos\theta & \cos\theta+\sin\theta \end{bmatrix}$

$x = 2, y = 1, z = 0$

$x = 2, y = 2, z = 0$

$x = -2, y = -1, z = 0$

$x = -2, y = -1, z = -1$

$|B|^2$

$|B|$

$\sin^2\theta |B|$

$\cos^2\theta |B|$

$D = 0$

$D = \pm 1$

$D^2 = 0$ or $1$

$D = (a_1 + a_2 + a_3) - (b_1 + b_2 + b_3)$

$|A|$

$|A|^2$

$|A|^3$

$3|A|$

A row matrix has only one row.

A diagonal matrix has all diagonal elements equal to zero.

A symmetric matrix is a square matrix satisfying certain conditions.

A skew-symmetric matrix has all diagonal elements equal to zero.