If $x\begin{bmatrix} 2 \ 1 \end{bmatrix} + y\begin{bmatrix} 3 \ 5 \end{bmatrix} + \begin{bmatrix} -8 \ -11 \end{bmatrix}$ = 0, then the value of (2x – 3y) is:

1. 1

2. -4

3. 3

4. -3

If $\begin{bmatrix} 2 & 3 \ -4 & 1 \end{bmatrix} + 2A = 4 \begin{bmatrix} -1 & 2 \ 3 & 4 \end{bmatrix}$, then the matrix A is:

1. $\begin{bmatrix} -3 & 5 \ 8 & 15 \end{bmatrix}$

2. $\begin{bmatrix} 5 & -3 \ 15 & 8 \end{bmatrix}$

3. $\begin{bmatrix} -3 & \dfrac{5}{2} \ 8 & \dfrac{15}{2} \end{bmatrix}$

4. $\begin{bmatrix} \dfrac{5}{2} & -3 \ \dfrac{15}{2} & 8 \end{bmatrix}$

If the orders of matrices A and B are m × n and p × q respectively, then which of the following is true for the product BA?

1. m = p

2. m = q

3. n = p

4. n = q

If P and Q are two different matrices of order 3 × n and n × p, then the order of the matrix PQ is:

1. 3 × p

2. p × 3

3. n × n

4. 3 × 3