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CONTENT SUMMARY: pg 1: @ More applications of row reduction; How row reduction helps us to understand some interesting aspects of linear transformations; not necessarily working with square matrices;…
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Applications of Row Reduction II - Wild Linear Algebra A
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- 1 CONTENT SUMMARY: pg 1: @ More applications of row reduction; How row reduction helps us to understand some interesting aspects of linear transformations; not necessarily working with square matrices;…
- 2 pg 2: @ A transformation where the input space and the output space are not necessarily the same; example: what happens to the basis vectors under transformation?;
- 3 pg 3: @ analyse previous example using row reduction; the equation of the image plane is obtained by row reduction;
- 4 pg 4: @ example2: a linear transformation from 3d to 2d;
- 5 pg 5: @16:53 example2 continued; analysed using row reduction; importance of mapping the basis vectors @ ; some vectors are sent to zero in the transformation;
- 6 pg 6: @ example continued; row reduction;
- 7 pg 7: @ Spanning sets; examples; a unique linear combination;
- 8 pg 8: @30:28 Spanning sets continued; examples; pg 9: @33:35 use of row reduction to determine whether we have a spanning set; pg 10: @39:19 Spanning sets continued; example2; not a spanning set; pg …
- 9 pg 14: @ linear dependence continued; example1;
- 10 pg 15: @ example1 continued using row reduction;
- 11 pg 16: @ linear dependence continued; example2;
