Question
Mathematics Question on Matrices
If A is a square matrix, then A + A' is
A
unit matrix
B
null matrix
C
A
D
symmetric matrix
Answer
symmetric matrix
Explanation
Solution
A + A' is symmetric, [∵ (A + A')' = A' + (- A')' = A' + A = A + A']
If A is a square matrix, then A + A' is
unit matrix
null matrix
A
symmetric matrix
symmetric matrix
A + A' is symmetric, [∵ (A + A')' = A' + (- A')' = A' + A = A + A']