Question

If X is a vector, and A and B are linear operators; then the correct mathematical relationship(s) is/are

• A. (A+B)X = AX + BX
• B. (2A)X = 2(AX)
• C. (AB)X = A(BX)
• D. $(A+B)X = A^TX+B^TMX$

Answer 1

Answer: (A), (B), (C)

(A+B)X = AX + BX

Answer 2

The correct answer is (A and B and C) : (A+B)X = AX + BX AND (2A)X = 2(AX) AND (AB)X = A(BX)