TRUE OR FALSE and explain why According to the Spectral Theo

TRUE OR FALSE and explain why.

According to the Spectral Theorem, every symmetric matrix with real entries is.....

Solution

Every symmetric matrix with real entries is \" digonalizable\'\'

for symmetric matrix the eigen values are real

and hence we can find the eigen vectors and form a matrix D with these eigen vectors as columns

and D^-1 A D = is a diagonal matrix with the main diagonal entries are eigen values