Mathematics TRUE / FALSE

State,Whether the following statements is true or false.A, B and C are matrices of order 2 x 2.

(A – B)² = A² – 2A. B + B²

State,Whether the following statements is true or false.A, B and C are matrices of order 2 x 2.

A² – B² = (A + B) (A – B)

State,Whether the following statements is true or false.A, B and C are matrices of order 2 x 2.

(A – B). C = A. C – B. C

State,Whether the following statements is true or false.A, B and C are matrices of order 2 x 2.

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

State,Whether the following statements is true or false.A, B and C are matrices of order 2 x 2.

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

State,Whether the following statements is true or false.A, B and C are matrices of order 2 x 2.

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

State,Whether the following statements is true or false.A, B and C are matrices of order 2 x 2.

A – B = B – A

State,Whether the following statements is true or false.A, B and C are matrices of order 2 x 2

A + B = B + A

State,Whether the following statements is true or false.if false, give a reason
A column matrix has many columns and one row.

State,Whether the following statements is true or false.if false, give a reason
Transpose of a square matrix is a square matrix.

State,Whether the following statements is true or false.if false, give a reason
Transpose of a 2 × 1 matrix is a 2 × 1 matrix.

State,Whether the following statements is true or false.if false, give a reason
If A and B are two matrices of orders 3 × 2 and 2 × 3 respectively; then their sum A + B is possible.