Please help me if you can.....big donation if it gets done
1)find the eigenvalues for the matrix
A = 1 2 1
0 3 1
0 5 -1
B) for each eigenvalue found above find a basis for the eigenspace
C)join all basis vectors from B) into a single set. does this set form a basis R^3? why or why not?
D)use C to express the v= [4 2 8] as a linear combination of eigenvectors. then find A15 v without having to work too hard.
2) repeat a-c for the matrix
B= 1 5 1
0 3 -1
0 1 1