Evaluate :

$\begin{bmatrix$}[r] 2cos60° & -2sin30° \ -tan 45° & cos0° \end{bmatrix}\begin{bmatrix}[r] cot 45° & cosec 30° \ sec60° & sin 90° \end{bmatrix}

State, with reason, whether the following are true or false. A, B and C are matrices of order 2 × 2.

(i) A + B = B + A

(ii) A - B = B - A

(iii) (B.C).A = B.(C.A)

(iv) (A + B).C = A.C + B.C

(v) A.(B - C) = A.B - A.C

(vi) (A - B).C = A.C - B.C

(vii) A² - B² = (A + B)(A - B)

(viii) (A - B)² = A² - 2A.B + B².

If M × $\begin{bmatrix$}[r] 3 & 2 \ -1 & 0 \end{bmatrix} = \begin{bmatrix}[r] 3 & -1 \end{bmatrix}, the order of matrix M is :

1. 2 × 2

2. 2 × 1

3. 1 × 2

4. 1 × 3

If $\begin{bmatrix$}[r] 2x - y \ x + y \end{bmatrix} = \begin{bmatrix}[r] 9 \ 9 \end{bmatrix}, the value of x and y are :

1. x = 3 and y = 3

2. x = 3 and y = 9

3. x = 3 and y = 6

4. x = 6 and y = 3