Question

find the eigenvalue and eigenvector of the following matrix A= [ 5 4 2, 4 5 2, 2 2 2 ]​

Answer 1

Let the eigen values be a,b

Sum of Eigen Values = Trace(Diagonal Sum)

⟹a+b=2+5=7

Product of Eigen Values = Det(A)

⟹a×b=6

Solving these we get eigenvalues as 1 and 6.

Option(B) is Correct.

Answer 2

ANSWER

HOPE! you got it