|
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]
|
INTRODUCTION TO MATRIX
ALGEBRA