MAT 2580 Linear Algebra Fall 2024

Monday, October 28 to Sunday, November 3

Lessons

• 4.6 Parametric Lines (part 2)
• 4.7 Planes in $\mathbb{R}^3$
  • Geogebra: lines and planes in 3D
  • Geogebra: normal vector to a plane in 3D
• 4.8 Spanning and Linear Independence in $\mathbb{R}^n$ (part 1)
  • Geogebra: linear combinations and span
    • This shows the example we were discussing at the end of Wednesday’s class:
      • the vectors $\vec{u}_1$ and $\vec{u}_2$ are shown in black and $\vec{v}$ is shown in red,
      • $span\{\vec{u}_1, \vec{u}_2\}$ is the turquoise plane,
      • you can play with the parameters $a$ and $b$ on the left to see different linear combinations of $\vec{u}_1$ and $\vec{u}_2$ in blue; you’ll notice that all the blue vectors will live in the turquoise plane (and so does the red vector $\vec{v}$, since it is a linear combination of $\vec{u}_1$ and $\vec{u}_2$).

WeBWorK

• Parametric Lines (reopened)
• Planes in $\mathbb{R}^3$
• Spanning Sets
  • Notice: some questions have a limited number of attempts

OpenLab

• Test #2 review part 1 (comment, instructions)
• Test #2 review part 2 (post, instructions)

Other

• Test #2: Monday, November 4
  • 3.1, 3.2, 4.1-4.8 (spanning sets)
• Last day to withdraw from the course: Wednesday, November 6