If matrix 𝐴 = $\begin{bmatrix$}[r] 2 & 2 \ 0 & 2 \end{bmatrix}\text{ and } A^2 = \begin{bmatrix}[r] 4 & x \ 0 & 4 \end{bmatrix}, then the value of x is :

1. 2

2. 4

3. 8

4. 10

If A = $\begin{bmatrix$}[r] 2 & -2 \ -2 & 2 \end{bmatrix}, then A² = pA, then the value of p is

1. 2

2. 4

3. -2

4. -4

If A = $\begin{bmatrix$}[r] -1 & 2 \end{bmatrix} \text{ and } B = \begin{bmatrix}[r] 1 & -2 \ 0 & 3 \end{bmatrix}. Which of the following operations is possible ?

1. A - B

2. A + B

3. AB

4. BA

A, B and C are square matrices of order 2 such that AB = C.

Assertion (A): BA = C

Reason (R): Matrix multiplication is not always commutative.

1. Assertion (A) is true, but Reason (R) is false.

2. Assertion (A) is false, but Reason (R) is true.

3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).