Find a basis for the eigenspace E2 , corresponding to the eigenvalue λ = 2 of the matrix B =
Follow Math Help Forum on Facebook and Google+
Originally Posted by matty888 Find a basis for the eigenspace E2 , corresponding to the eigenvalue λ = 2 of the matrix B = Essentially solve $\displaystyle Bx = 2x $ where x = [a;b;c]. So $\displaystyle -a + b + c = 0$, Thus the general form of the vectors in the eigenspace are $\displaystyle (x+y,x,y)$ and its dimension is 2. So one of the basis is $\displaystyle \{ (1,1,0),(1,0,1)\}$
View Tag Cloud