Question

If a= ((3,5),(7,9)) is written as a = p + q, where p is a symmetric matrix and q is skew symmetric matrix, then write the matrix p

Answer 1

Answer:

A=[3579]

P is symmetric matrix. So,

P=12(A+AT)

Q is skew symmetric matrix. So,

Q=12(A-AT)

AT=[3759]

P=12[6121218]=[3669]