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What's on the worksheet
- Classify each matrix as reduced row echelon form, row echelon form but not reduced, or neither, and give the reason.
- For which values of k is each matrix in row echelon form?
- Use Gaussian elimination to bring the augmented matrix of a system in x, y and z to row echelon form, naming each operation.
- A music school taught 20 lessons on Saturday:
- Sofia and Mateo each reduce the augmented matrix of x + y + 2z = 1, \qquad 2x + 3y + z = 6, \qquad -x + 2y - 9z = 9 with the same operations:
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Echelon forms and Gaussian elimination: the lesson ›More Chapter 2 worksheets: Linear systems and row reduction
- 2.1Writing a system as a matrix equation
- 2.2Augmented matrices and row operations
- 2.3Echelon forms and Gaussian elimination
- 2.4Solving a system by row reduction: one, none or infinitely many solutions
- 2.5Reduced row echelon form
- 2.6Rank
- 2.7Multiplying a matrix by a vector
- 2.8Homogeneous systems and solutions in parametric vector form
- 2.9Linear systems in use: networks, chemical equations, fitting curves