Unit 2

(net time: 138 min)

5.1 Eigen space

A is invertible ó λ≠0

5.2 Diagonalization

Similarity transformation: det(P^-1AP) = det(A)

Similarity invariant: determinant, invertibility, rank, nullity, trace, characteristic polynomial (λ I-A), eigenvalues, eigenspace dimension

diagonalizable ó eigenspace is Rⁿ

Geometric multiplicity <= algebraic multiplicity

10.15 Genetics

autosomal inheritance, AA, Aa, aa

Fertilize means to develop a new individual by introducing male reproductive material. Now clear.

X-linked inheritance, A or a + AA, Aa or aa