Answer:
Step-by-step explanation:
We are given that vector space of all symmetric matrix
M(R)={
where a,b,c,d,e,f,g,h,i}
Let A=
A'=
A is symmetric
Then A'=A
=
a=a , e=e, i=i
a-a=0 , e-e=0, i-i=0
b=d, c=g ,f=h
Hence, the matrix
Therefore, the basis are
There are three elements to generate an element of vectors of all symmetric matrix matrix
=
Answer:
5
Step-by-step explanation: