Answered step by step
Verified Expert Solution
Question
1 Approved Answer
so lets say that we have {{1,a},{0,2}} = A so that A^TA = {{1,a},{0,2}} *{{1, 0}, {a, 2}} = {{1 + a^2, 2 a}, {2
so lets say that we have {{1,a},{0,2}} = A so that A^TA = {{1,a},{0,2}} *{{1, 0}, {a, 2}} = {{1 + a^2, 2 a}, {2 a, 4}} which has eigen values 1/2 (5 + a^2 pm sqrt(9 + 10 a^2 + a^4)) so that the operator norm is sqrt of 1/2 (5 + a^2 + sqrt(9 + 10 a^2 + a^4)) = sqrt(5 + a^2 + sqrt(9 + 10 a^2 + a^4))/sqrt(2) which gives us the stretching power of A
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started