This was what I wanted to say in my previews questions. I need a real life example that can be solved only with linear transformation. I will be verry grateful if you can give me a problem and it' s solution. Bun I really need a "real life application". I cound't find what I wanted anywhere and I hope that maybe this time I was more specific.
2026-03-27 08:49:35.1774601375
A real life example for the linear transformations
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When I was in finance I would use linear transformations to map each security I might own to a set of risk-factor loadings.
Then use these factor loadings at the security level to find the risk-factors for a portfolio of securities.
Use a variance-covariance matrix to take these factors to a find an expected variance for my portfolio.
Then do the same thing for my benchmark and find an expected tracking error to the benchmark.
Each of these is a linear transformation.