An Illustrated Introduction to Linear Algebra
16 hours ago
- #Gaussian Elimination
- #Linear Algebra
- #Vectors
- Introduction to linear algebra with focus on Gaussian elimination and row vs column picture.
- Money example: Solving for nickels and pennies to make 23 cents using linear equations.
- Food example: Calculating amounts of milk and bread to meet specific carb and protein targets.
- Explanation of Gaussian elimination to solve systems of linear equations.
- Visual representation (row picture) of solving equations by plotting lines and finding their intersection.
- Introduction to the column picture, treating coefficients as vectors and solving visually.
- Algebraic approach to vector addition and scalar multiplication in linear algebra.
- Teaser on matrix notation and its equivalence to previous representations.
- Mention of future topics like dot product and matrices in linear algebra.