[University Linear Algebra] Linear Dependence and Gaussian Elimination (Quiz-Exam level questions)
Автор: Math Tutor Deep Dive
Загружено: 2025-09-28
Просмотров: 5
Описание:
This Video (based on our math blog and class recordings) outlines a mathematical problem concerning linear dependence between three given vectors, where one vector contains an unknown variable, b. The document first presents the three vectors and states that they are linearly dependent, posing the question of what the value of b must be. A step-by-step solution follows, detailing the process of constructing a matrix with the vectors as columns and then using row operations to reduce the matrix to its row echelon form. The key insight is that for the vectors to be linearly dependent, the last pivot must be zero, which occurs when the expression b minus four equals zero, leading to the solution that b equals four. Finally, the text concludes with a general strategy for checking linear dependence by matrix reduction and identifying the condition that causes a pivot to vanish.
Copyright all rights reserved
Full video check Youtube @mathtutor8285
Повторяем попытку...
![[University Linear Algebra] Linear Dependence and Gaussian Elimination (Quiz-Exam level questions)](https://imager.clipsaver.ru/YmwTPcjld68/max.jpg)
Доступные форматы для скачивания:
Скачать видео
-
Информация по загрузке:
