- How do jets/airplane cold start?
- Stop free-roaming dogs from entering my property
- How can I effectively patch up holes in insect screen?
- How to add a Headrest to this chair?
- How to get rid of print from fabric clothing?
- How can I straighten a twisted necktie?
- What is the best way to clean up the spider webs?
- Prevent rubber bands from ageing?
- Efficient life hack to peel a jicama
- Inflation, Future, And Value of Money - deciding to buy a house
- What does it mean for a technology to have a $|\rho|<1$?
- How to use unread-command-events variable?
- Could a gas giant with layer similar to Earth atmosphere exist?
- What change to laws of nature could disable modern technology, but allow nature as we know it? Or is it impossible?
- How would battle strategies change if airplanes had much more limited ranges?
- Is Quora a disruptor for StackExchange?
- Where should i find a co-founder and teammates for my startup?
- Why a girl is forced to get married with in an year after her Mothers death
- Caching Issue “unserialize(): Error at offset 0 of 24 bytes”
- Cryptic symbols and letters
The variances of the principal components are the same for Y and rotated Y
I got this question on the textbook. How to solve this? Thank you.
Suppose Y is a data matrix, and Z = YF for some orthogonal matrix F, so that Z is a rotated version of Y. Show that the variances of the principal components are the same for Y and Z. (This result should make intuitive sense.) [Hint:
Find the spectral decomposition of the covariance of Z from that of Y, then note that these covariance matrices have the same eigenvalues.]