Unterbestimmte Lineare Gleichungssysteme (LGS) lösen am Bsp. Schnitt zweier Ebenen

There are many ways to solve systems of linear equations (SLEs). One method that always works, is easy to learn, and has a good runtime is Gaussian elimination. For underdetermined SLEs, the missing rows can be filled with zeros. You can learn about the significance of a row of zeros and what the solution with parameters looks like here! Are you interested in weekly support with your exercises and homework in Analysis 1 & Linear Algebra 1? Then feel free to join our study groups! ... Math for Engineering: https://chat.whatsapp.com/EjzxiF8rA67... https://chat.whatsapp.com/CL3dvXnXe9d... Math for Bachelor's Degrees/Math for Teaching/Computer Science, Engineering: https://chat.whatsapp.com/GANQtu6V78W... Math in Economics: https://chat.whatsapp.com/L4iEb7WCaFc... If you need to prepare for a math exam, check out my online platform: https://champcademy.com. There you'll find courses, individual support, and everything you need to pass your exam. 🤓 ONLINE COURSES 🤓 25% discount on all my courses. Coupon code "MATHEPETER" TOPIC COURSES Statistics and Probability Theory https://champcademy.teachable.com/p/s... Complex Numbers https://champcademy.teachable.com/p/k... Sequences, Series, and Difference Equations https://champcademy.teachable.com/p/f... Differential Calculus https://champcademy.teachable.com/p/d... Limits of Functions https://champcademy.teachable.com/p/g... Integral Calculus https://champcademy.teachable.com/p/i... Multidimensional Integral Calculus https://champcademy.teachable.com/p/m... Functions with Multiple Variables https://champcademy.teachable.com/p/f... Extremum Calculation https://champcademy.teachable.com/p/e... Higher-Order Differential Equations https://champcademy.teachable.com/p/h... MODULE COURSES Mathematics in Economics https://champcademy.teachable.com/p/m... Math 1 Crash Course (adapted for Humboldt University of Berlin) https://champcademy.teachable.com/p/m... Math 2 LIVE Crash Course (for Humboldt University of Berlin) https://champcademy.teachable.com/p/m... Statistics 1 LIVE Crash Course (for Humboldt University of Berlin) Berlin) https://champcademy.teachable.com/p/s... Analysis 1 & Linear Algebra for Engineering (TU Berlin) https://champcademy.teachable.com/p/a... Analysis 2 for Engineering (TU Berlin) https://champcademy.teachable.com/p/a... BUNDLE All-In-One Complete Bundle https://champcademy.teachable.com/p/a... Topic Course Bundle https://champcademy.teachable.com/p/a... SOCIAL MEDIA https://linktr.ee/mathepeter   / mathepeter.tv     / discord   SCHEDULE https://kalender.digital/19534f26d000... AFFILIATE LINKS I receive a small commission for every purchase. The price remains the same for you: My Calculator https://amzn.to/2RbhKKj My Formula Book https://amzn.to/2WdVUtd ♥♥♥ ♜♞♝♛♚♝♞♜ ♥♥♥ ♟♟♟♟♟♟♟♟ --------------------------------------------------------------------- Would you like to support me? Patreon:   / mathepeter   PayPal: https://paypal.me/peterlehe1?locale.x... --------------------------------------------------------------------- ♙♙♙♙♙♙♙♙ ♥♥♥ ♖♘♗♕♔♗♘♖ ♥♥♥ Contents: 0:00 What are underdetermined systems of linear equations (SLEs)? 0:26 Positional relationships of two planes in R^3 3:43 Explanation: Number of zero rows = dimension of the solution space 7:34 Solving SLEs using Gaussian elimination 12:32 Parameterization (staircase method) and writing up the result 20:38 Summary 24:02 #ADVERTISEMENT