RANK and NULLITY of a Linear Transformation | FREE Linear Algebra Course
In this video, we define the rank and nullity of a linear transformation. We compute the rank and nullity of one linear transformation. We describe the rank of surjective linear transformations and the nullity of injective linear transformations. We also observe that the rank of a linear transformation is equal to the rank of its matrix representation, and the nullity of a linear transformation is equal to the nullity of its matrix representation.
This video is part of a linear algebra course
• Linear Algebra Course
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CHAPTERS:
0:00 Intro and learning outcomes
0:36 What are rank and nullity of a linear transformation?
1:14 How to compute the rank and nullity of a linear transformation
1:37 The rank of surjective linear transformation
2:10 The nullity of an injective linear transformation
2:37 Rank nullity theorem
4:00 Example illustration of the rank nullity theorem
4:21 Rank and nullity of matrix representation
6:40 Now what?
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