If the matrix A = bmatrix & \\ - & bmatrix, then A^2 is equal to: Option 1: bmatrix 2 & 2 \\ - 2 & 2 bmatrix Option 2: bmatrix ^2 & ^2 \\ -^2 & ^2 bmatrix Option 3: bmatrix ^2 & ^2 \\ -^2 & ^2 bmatrix Option 4: bmatrix + & - \\ - & + bmatrix

The answer is 'bmatrix 2 & 2 \\ - 2 & 2 bmatrix'. View full solution:

CUET Mathematics - If the matrix A = bmatrix & \\ - & bmatrix, then A^2 is equal to: | PYQs + Solutions

CUET Mathematics 2022 25 May Shift 1

Algebra

Medium

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

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

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

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

✅ Correct Option: 1

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The values of $\lambda$ for which the system of equation $x + 2y + z = 14, - x + y + z = 10, x + \lambda y + z = 2$ has unique solution is

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Match List-I with List-II

Let $A$ be any invertible square matrix. Then

Choose the correct answer from the options given below:

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For the system of linear equations

$x + y + z = 5000$

$6x + 7y + 8z = 35800$

$6x + 7y - 8z = 7000$

the values of x, y and z are: