If A, B, C are any three matrices, then A'+ B'+ C' is equal to
2009
If A, B, C are any three matrices, then A'+ B'+ C' is equal to
- A.
a null matrix
- B.
A+B+C
- C.
(A+B+C)'
- D.
-(A+B+C)
Attempted by 34 students.
Show answer & explanation
Correct answer: C
For any matrices A, B, and C of compatible dimensions, the transpose operation distributes over addition. This means (A + B + C)' = A' + B' + C'. Thus, the expression A' + B' + C' is equivalent to (A + B + C)'.