If matrix A = $\begin{bmatrix$}[r] x - y & x + y \ y - x & y + x \end{bmatrix} and matrix B = $\begin{bmatrix$}[r] x + y & y - x \ x - y & y + x \end{bmatrix}, then A + B is :

1. $\begin{bmatrix$}[r] 2y & 2x \ 0 & 2(x + y) \end{bmatrix}

2. $\begin{bmatrix$}[r] 2x & 2(x + y) \ 0 & 0 \end{bmatrix}

3. $\begin{bmatrix$}[r] 2x & 2y \ 0 & 2(x + y) \end{bmatrix}

4. $\begin{bmatrix$}[r] 2x - 2y & 2y \ 0 & 0 \end{bmatrix}

Event A : Order of matrix A is 3 × 5.

Event B : Order of matrix B is 5 × 3.

Event C : Order of matrix C is 3 × 3.

Product of which two matrices gives a square matrix.

1. AB and AC

2. AB and BC

3. BA and BC

4. AB and BA

Matrix A = $\begin{bmatrix$}[r] x & y \end{bmatrix} and Matrix B = $\begin{bmatrix$}[r] a \ b \end{bmatrix}.

Assertion (A) : Product BA is possible and order of resulting matrix is 2 x 2.

Reason (R) : The product BA of two matrices A and B is possible only if number of rows in matrix B Is same as number of columns in matrix A.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.

A, B and C are three matrices each of order 2 x 2.

Statement 1 : If A x B = A x C ⇒ B = C

Statement 2 : Cancellation law is applicable in matrix multiplication.

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.