Linear Algebra objectives 5-9 test walkthrough
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- Опубликовано: 7 сен 2024
- Thanks for watching the video if you found my video valuable please like and subscribe. In this video, we discuss the following linear algebra objectives
5. Determine whether a transformation is linear, one-to-one, and/or onto as well as the domain, codomain and any images of the transformation. When the transformation is linear, find its standard matrix.
6. Determine properties of linear transformations and matrices (e.g. linear algebra properties that are preserved under linear transformations and matrix multiplication).
7. Identify when a matrix is invertible and find its inverse (using elementary matrices or the row reduction algorithm).
8. Apply the Invertible Matrix Theorem (including determinants) to determine properties of a matrix or system.
9. Compute determinants (using elementary matrices, cofactor expansion, and/or other properties)