If A = $\begin{bmatrix$}[r] 5 & -5 \ 3 & -3 \end{bmatrix} \text{ and } B = \begin{bmatrix}[r] -5 & 5 \ -3 & 3 \end{bmatrix}; the value of matrix (A - B) is :

1. $\begin{bmatrix$}[r] 0 & 0 \ 0 & 0 \end{bmatrix}

2. $\begin{bmatrix$}[r] 10 & -10 \ 6 & -6 \end{bmatrix}

3. $\begin{bmatrix$}[r] 10 & -10 \ -6 & 6 \end{bmatrix}

4. $\begin{bmatrix$}[r] -10 & 10 \ -6 & 6 \end{bmatrix}

If A = $\begin{bmatrix$}[r] 5 & 5 \ 4 & 0 \end{bmatrix}, B = \begin{bmatrix}[r] 3 & 2 \ 1 & 4 \end{bmatrix} \text{ and } C = \begin{bmatrix}[r] -2 & 3 \ 2 & 1 \end{bmatrix} then matrix (A + B - C) is :

1. $\begin{bmatrix$}[r] 10 & 4 \ -3 & 3 \end{bmatrix}

2. $\begin{bmatrix$}[r] -10 & 4 \ 3 & -3 \end{bmatrix}

3. $\begin{bmatrix$}[r] 10 & 4 \ 3 & 3 \end{bmatrix}

4. $\begin{bmatrix$}[r] 10 & -4 \ 3 & 3 \end{bmatrix}

The additive inverse of matrix A + B, where

A = $\begin{bmatrix$}[r] 4 & 2 \ 7 & -2 \end{bmatrix} \text{ and } B = \begin{bmatrix}[r] -2 & 1 \ 3 & -4 \end{bmatrix} is :

1. $\begin{bmatrix$}[r] -2 & -3 \ -10 & 6 \end{bmatrix}

2. $\begin{bmatrix$}[r] 2 & 3 \ -10 & -6 \end{bmatrix}

3. $\begin{bmatrix$}[r] -2 & -3 \ -10 & -6 \end{bmatrix}

4. $\begin{bmatrix$}[r] -2 & 3 \ 10 & -6 \end{bmatrix}

State, whether the following statements are true or false. If false, give a reason.

(i) If A and B are two matrices of orders 3 × 2 and 2 × 3 respectively; then their sum A + B is possible.

(ii) The matrices A_{2 × 3} and B_{2 × 3} are conformable for subtraction.

(iii) Transpose of a 2 × 1 matrix is a 2 × 1 matrix.

(iv) Transpose of a square matrix is a square matrix.

(v) A column matrix has many columns and only one row.