## Mathematics 210## Linear Algebra |

* Lay, Chapter 1: Linear Equations in Linear Algebra *

- Lay, Sections 1.1-1.2, Linear Equations (pdf)
- Biography and pictures of Johann Carl Friedrich Gauss (1777-1855)
- The "Jordan" of Gauss-Jordan fame is Wilhelm Jordan (1842-1899), and NOT the more famous Marie Ennemond Camille Jordan (1839-1922). See the last paragraph in this biography of Marie Ennemond Camille Jordan.

- Lay, Sections 1.3-1.4, Matrix Equations (pdf)
- Here is an interesting history of matrices and determinants.

- Lay, Sections 1.5-1.6, Solution Sets, Applications (pdf)
- Lay, Sections 1.7-1.8, Linear Independence, Linear Transformations (pdf)
- Lay, Sections 1.9-1.10, Matrix of a Linear Transformation, Linear Models (pdf)

*Lay, Section 1.1, pp 11--13 --*1, 3, 5, 9, 13, 15, 33, 34 (heat transfer)*Lay, Section 1.2, pp 25--27 --*1, 3, 7, 11, 13, 17, 19, 33 (interpolating polynomial), 34 (wind tunnel experiment)*Lay, Section 1.3, pp 37--40 --*10, 11, 13, 17, 28 (steam plant), 29, 31 (center of mass)*Lay, Section 1.4, pp 47--49 --*3, 5, 7, 9, 11, 21, 22, 39-42 (column space)*Lay, Section 1.5, pp 55--56 --*3, 9, 13, 15, 25, 26, 33, 35 (solution set)*Lay, Section 1.6, pp 63--65 --*1, 3 (economic sectors), 5, 7 (chemical equations), 12 (traffic flow), 14 (roundabouts)*Lay, Section 1.7, pp 71--72 --*3, 7, 11, 15, 17, 19, 41--44 (column space)*Lay, Section 1.8, pp 79--82 --*1, 5, 7, 11, 17, 37 (kernel), 39 (image)*Lay, Section 1.9, pp 90--92 --*1, 13, 15, 19, 37, 39 (one-to-one?, onto?)*Lay, Section 1.10, pp 99--101 --*1 (cereal), 4 (nutrients), 7 (loop currents), 11 (California), 12 (rental cars), 14 (boundary temperatures)

Use the following exercises to review and test your understanding of the material in Chapter 1. This is not homework, and there is nothing to hand in from this activity.

*Lay, Supplementary Exercises, Chapter 1, pp. 102--104 --*6, 9, 13, 23 (Givens rotation), 25 (apartment building)