Establish the following. (a) || A|| 2 = max |y* Ax| ||2||2=1,||y|2=1 (b) || A|| 2 = || A*||2 (c) ||A* A|| 2 = || A||2 (d
Posted: Tue Sep 07, 2021 7:43 am
Establish the following. (a) || A|| 2 = max |y* Ax| ||2||2=1,||y|2=1 (b) || A|| 2 = || A*||2 (c) ||A* A|| 2 = || A||2 (d) Let O represent a zero matrix of appropriate size, and assume A, B have real entries. Then |(88) B, max(|| A||2, || B||2). (e) ||U*AV || 2 = || A||2 for U, V unitary.