Section 2.4- Gaussian Elimination
Math 287
In this activity, we are looking to understand the following concepts and terms:
1.
2.
3.
4.
5.
6.
7.
Row reduction
Row Echelon Form (REF)
Reduced Row Echelon Form
Rank of a matrix
Coefficient matrix
Augmented matrix
Gaussian Elimination
Row Reduction
1. Row reduce the matrix to row echelon form and then to reduced row echelon form:
Allowed operations:
Permutation:
Multiplication:
Addition:
Row Echelon Form
2 1
A=�2 −3
3 −2
4
4�
6
Section 2.4
Reduced Row Echelon Form
\
What is the rank of A? (rank(A))
The rank of the coefficient matrix or the augmented matrix is the number of non-zero rows in the rowechelon or reduced row echelon form. Given this information, what is the rank of A?
2. Row Reduce the matrix to reduced row echelon form- Find RREF(B):
𝐵𝐵 = �
2
1
1
�
−3
Section 2.4
3. Row Reduce the matrix to row echelon form- Find RREF(A):
2 1
A=�2 −3
3 −2
4
4�
6