Chapter 02 What do you Mean by Linear Combination of Vectors Example

Vectors (CHAPTER 2)

Topic

What do you mean by linear combination of vectors?: Example

Description

Learn about the linear combination of vectors through an example.

This video teaches you about linear combination of vectors through an example.

All Videos for this Topic

- - What is a vector? [YOUTUBE 2:27] [TRANSCRIPT]
  - What is a vector? Example [YOUTUBE 1:15] [TRANSCRIPT]

- - When are two vectors equal? [YOUTUBE 2:02][TRANSCRIPT]
  - When are two vectors equal? Example [YOUTUBE 2:26][TRANSCRIPT]

- - How do you add two vectors? [YOUTUBE 1:34][TRANSCRIPT]
  - How do you add two vectors? Example [YOUTUBE 1:48] [TRANSCRIPT]

- - What is a null (or zero) vector? [YOUTUBE 1:12] [TRANSCRIPT]
  - What is a unit vector? [YOUTUBE 1:30][TRANSCRIPT]
  - What is a unit vector? Example [YOUTUBE 1:49] [TRANSCRIPT]

- - How do you multiply a vector by a scalar? [YOUTUBE 1:18] [TRANSCRIPT]
  - How do you multiply a vector by a scalar? Example [YOUTUBE 1:16] [TRANSCRIPT]

- - What do you mean by linear combination of vectors? [YOUTUBE 1:44] [TRANSCRIPT]
  - What do you mean by linear combination of vectors? Example [YOUTUBE 2:34][TRANSCRIPT]
  - What do you mean by vectors being linearly independent? [YOUTUBE 2:28] [TRANSCRIPT]
  - Are these vectors linearly independent? Example 1 [YOUTUBE 3:17] [TRANSCRIPT]
  - Are these vectors linearly independent? Example 2 [YOUTUBE 9:13][TRANSCRIPT]

- - What do you mean by rank of a set of vectors? [YOUTUBE 2:09] [TRANSCRIPT]
  - Rank of a set of vectors: Example 1 [YOUTUBE 3:53] [TRANSCRIPT]
  - Rank of a set of vectors: Example 2 [YOUTUBE 2:27] [TRANSCRIPT]

- - Prove that if a set of vectors contains a null vector, the set of vectors is linearly dependent [YOUTUBE 2:29] [TRANSCRIPT]
  - Prove that if a set of vectors is linearly independent, then a subset of it is also linearly independent [YOUTUBE 5:42][TRANSCRIPT]
  - Prove that if a set of vectors is linearly dependent, then at least one vector can be written as a linear combination of others [YOUTUBE 4:06] [TRANSCRIPT]

- - How can vectors be used to write simultaneous linear equations? [YOUTUBE 5:08] [TRANSCRIPT]
  - How can vectors be used to write simultaneous linear equations? Example [YOUTUBE 3:13][TRANSCRIPT]

- - What is the definition of the dot product of two vectors? [YOUTUBE 2:00] [TRANSCRIPT]
  - Dot product of two vectors Example [YOUTUBE 1:41] [TRANSCRIPT]

Complete Resources

Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, multiple-choice questions, and problem sets on Vectors.