Chapter 02 What do you Mean by Linear Combination of Vectors

Vectors (CHAPTER 2)

Topic

What do you mean by linear combination of vectors?

Description

Learn about the linear combination of vectors.

This video teaches you about linear combination of vectors.

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

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