Linear Algebra 6.4 Transition Matrices and Similarity скачать в хорошем качестве

Linear Algebra 6.4 Transition Matrices and Similarity

In this video, we explore transition matrices, change of basis, and similar matrices—core ideas that connect linear transformations to different coordinate systems. You’ll learn how to: Find the matrix of a linear transformation relative to a new basis Build change‑of‑basis matrices P and P^{-1} Compute a new matrix representation using A'=P^{-1}AP Understand what it means for two matrices to be similar See worked examples Video Chapters: 00:00 — Intro 00:07 — Transition matrices: A, A', P, and P^{-1} 02:27 — Example 1: Finding A' using A'=P^{-1}AP 05:13 — Example 2: Converting between two non‑standard bases 7:33 — Example 3: On your own 8:41 — Definition of similar matrices 10:08 - Example 4: Using a given P to compute a similar matrix 11:29 — Example 5: 3×3 similarity transformation 12:37 — Wrap‑up & what’s coming next Textbook: Elementary Linear Algebra 8e, Ron Larson Slide Decks: https://bellevueuniversity-my.sharepo... Playlist:    • Linear Algebra (Full Course - Under Produc...