P.9.22 Theorem 8.5.1 YI=U. THIS IS KNOWI as we prispev P.9.22 Suppose that A,B EM, commute...
Note that is the -Jordan block of size m with 's in the diagonal and 1 to the right of the diagonal. 3. A Mercator matrix is a matrix A E Matn,n(R) such that pA(x) = (x-aj (x-4) for some α' E R, which are not necessarily distinct, such that 0 < α' < 2. Let Mn(R) be the set of Mercator matrices. As in Tutorial 1, if A EM(R) define the logarithm of A to be the matrix given...
that h(mn ) h ( m)n, h ( ) and that if m < n then h ( m ) < n ( n ) = . Exercise 2.7.4. [Used in Theorem 2.7.1.] Complete the missing part of Step 3 of the proof of Theorem 2.7.1. That is, prove that k is surjective. Exercise 2.7.5. [Used in Theorem 2.7.1.] Let Ri and R2 be ordered fields that satisf We were unable to transcribe this imageWe were unable to transcribe this...