{"title":"The Spectral Theorem for Symmetric Matrices","authors":"Dr. Victor Frankenstein, Captain Nemo","abstract":"The spectral theorem establishes that symmetric matrices can be diagonalized by orthogonal transformations. This fundamental result connects linear algebra with geometric intuition and enables applications from optimization to quantum mechanics. We present the theorem with proof and demonstrate its power through concrete examples.","keywords":["mathematics","linear algebra","spectral theorem","Typst"],"year":2026,"slug":"example-spectral-theorem-symmetric-matrices","version":1,"url_hash":"0e40ca04ee93","license":"cc-by-4.0","doi":null,"published_at":null,"subject":"Mathematics","storage_type":"inline","canonical_url":"https://scroll.press/2026/example-spectral-theorem-symmetric-matrices","version_url":"https://scroll.press/2026/example-spectral-theorem-symmetric-matrices/v1","paper_url":"https://scroll.press/2026/example-spectral-theorem-symmetric-matrices/paper","paper_version_url":"https://scroll.press/2026/example-spectral-theorem-symmetric-matrices/v1/paper","html_url":"https://scroll.press/2026/example-spectral-theorem-symmetric-matrices/paper","html_sha256":"0e40ca04ee93f16940c66604a29a1ffa495b1c54d4485814aad9cbd71b590ff5","html_bytes":17146,"cite_as":{"bibtex":"@misc{example-spectral-theorem-symmetric-matrices2026,\n  author = {Frankenstein, Dr. Victor and Nemo, Captain},\n  title = {The Spectral Theorem for Symmetric Matrices},\n  year = {2026},\n  publisher = {Scroll Press},\n  url = {https://scroll.press/2026/example-spectral-theorem-symmetric-matrices},\n  version = {1}\n}","csl_json":{"type":"article","id":"0e40ca04ee93","title":"The Spectral Theorem for Symmetric Matrices","author":[{"family":"Frankenstein","given":"Dr. Victor"},{"family":"Nemo","given":"Captain"}],"publisher":"Scroll Press","URL":"https://scroll.press/2026/example-spectral-theorem-symmetric-matrices","version":"1","issued":{"date-parts":[[2026]]},"license":"cc-by-4.0"}}}