True or false: matrix algebra

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   A + B = B + A.

2. Statement is true

   Yes

   Statement

   (A + B) + C = A + (B + C) when all have the same order.

3. Statement is true

   No

   Statement

   AB = BA for all matrices.

4. Statement is true

   Yes

   Statement

   A(BC) = (AB)C.

5. Statement is true

   Yes

   Statement

   A(B + C) = AB + AC.

6. Statement is true

   No

   Statement

   Two matrices of different orders can be added.

Explanation