Hand in HERE: Solve HWs 7 and 8 - Due on Dec/06/2021
Completion requirements
Opened: Saturday, 27 November 2021, 12:00 AM
Due: Monday, 6 December 2021, 11:59 PM
1) Solve all problems from HW 7;
2) Solve all problems from HW 8;
3) Expand item 5c from HW8 as follows (you are still required to solve itens 5a and 5b):
3a) Explain what are principal vectors, their relation to eigenvectors and to algebraic and geometric multiplicity;
3b) Create a nontrivial 4x4 matrix A such that: it has a 3x3 Jordan block with two principal vecs and one eigenvec; it has a trivial Jordan block;
3b) Create a nontrivial 3x3 matrix A such that: it has a 2x2 Jordan block with one principal vec and one eigenvec; it has a trivial Jordan block;