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Example of row equivalence & elementary row operations
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Row Equivalence & Elementary Row Operations are materials for the course Introduction to Linear Algebra at the University.
❖ Two matrices A and B are Row Equivalent if it is possible to transform A into B by a sequence of Elementary Row Operations.
❖ Elementary row operations
There are three types of elementary matrices, which correspond to three types of row operations (respectively, column operations):
1. Row switching
A row within the matrix can be switched with another row.
2. Row multiplication
Each element in a row can be multiplied by a non-zero constant.
3. Row addition
A row can be replaced by the sum of that row and a multiple of another row.
❖ In the next video, we will explain more about this to know why it is important.
❖ In this video, we will learn:
0:00 Introduction
01:27 Solve the example
08:42 Summary
The link to this playlist (Linear Algebra):
My Website:
Subscribe to My Channel to check out for more videos:
❖ Two matrices A and B are Row Equivalent if it is possible to transform A into B by a sequence of Elementary Row Operations.
❖ Elementary row operations
There are three types of elementary matrices, which correspond to three types of row operations (respectively, column operations):
1. Row switching
A row within the matrix can be switched with another row.
2. Row multiplication
Each element in a row can be multiplied by a non-zero constant.
3. Row addition
A row can be replaced by the sum of that row and a multiple of another row.
❖ In the next video, we will explain more about this to know why it is important.
❖ In this video, we will learn:
0:00 Introduction
01:27 Solve the example
08:42 Summary
The link to this playlist (Linear Algebra):
My Website:
Subscribe to My Channel to check out for more videos:
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